404873640 has 320 divisors, whose sum is σ = 1463616000. Its totient is φ = 100154880.

The previous prime is 404873639. The next prime is 404873723. The reversal of 404873640 is 46378404.

404873640 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 7 + 3 + 640 = 666.

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 = 404873595 and 404873604.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2912691 + ... + 2912829.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^404873640 is an apocalyptic number.

404873640 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 404873640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808000).

404873640 is an abundant number, since it is smaller than the sum of its proper divisors (1058742360).

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

404873640 is a wasteful number, since it uses less digits than its factorization.

404873640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 404873640 is about 20121.4721131432. The cubic root of 404873640 is about 739.7866684787.

The spelling of 404873640 in words is "four hundred four million, eight hundred seventy-three thousand, six hundred forty".