404234880 has 256 divisors, whose sum is σ = 1551052800. Its totient is φ = 87478272.

The previous prime is 404234851. The next prime is 404234903. The reversal of 404234880 is 88432404.

It is a super-2 number, since 2×404234880² = 326811676417228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254569 + ... + 256151.

It is an arithmetic number, because the mean of its divisors is an integer number (6058800).

Almost surely, 2^404234880 is an apocalyptic number.

404234880 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 404234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775526400).

404234880 is an abundant number, since it is smaller than the sum of its proper divisors (1146817920).

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

404234880 is a wasteful number, since it uses less digits than its factorization.

404234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 404234880 is about 20105.5932516303. The cubic root of 404234880 is about 739.3974154607.

The spelling of 404234880 in words is "four hundred four million, two hundred thirty-four thousand, eight hundred eighty".