404490240 has 768 divisors, whose sum is σ = 1886976000. Its totient is φ = 79626240.

The previous prime is 404490239. The next prime is 404490269. The reversal of 404490240 is 42094404.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×404490240² = 327224708510515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21288951 + ... + 21288969.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^404490240 is an apocalyptic number.

404490240 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 404490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

404490240 is an abundant number, since it is smaller than the sum of its proper divisors (1482485760).

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

404490240 is a wasteful number, since it uses less digits than its factorization.

404490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 404490240 is about 20111.9427206822. The cubic root of 404490240 is about 739.5530780790.

The spelling of 404490240 in words is "four hundred four million, four hundred ninety thousand, two hundred forty".