404994240 has 168 divisors, whose sum is σ = 1592092320. Its totient is φ = 92565504.

The previous prime is 404994181. The next prime is 404994241. The reversal of 404994240 is 42499404.

It is a happy number.

404994240 is a `hidden beast` number, since 404 + 9 + 9 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404994195 and 404994204.

It is not an unprimeable number, because it can be changed into a prime (404994241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10116 + ... + 30204.

It is an arithmetic number, because the mean of its divisors is an integer number (9476740).

Almost surely, 2^404994240 is an apocalyptic number.

404994240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796046160).

404994240 is an abundant number, since it is smaller than the sum of its proper divisors (1187098080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404994240 is a wasteful number, since it uses less digits than its factorization.

404994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20119 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 404994240 is about 20124.4686886387. The cubic root of 404994240 is about 739.8601147809.

It can be divided in two parts, 4049 and 94240, that added together give a palindrome (98289).

The spelling of 404994240 in words is "four hundred four million, nine hundred ninety-four thousand, two hundred forty".