404882400 has 288 divisors, whose sum is σ = 1496154240. Its totient is φ = 94279680.

The previous prime is 404882389. The next prime is 404882411. The reversal of 404882400 is 4288404.

It is an interprime number because it is at equal distance from previous prime (404882389) and next prime (404882411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592459 + ... + 593141.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^404882400 is an apocalyptic number.

404882400 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 404882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

404882400 is an abundant number, since it is smaller than the sum of its proper divisors (1091271840).

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

404882400 is a wasteful number, since it uses less digits than its factorization.

404882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 404882400 is about 20121.6897898760. The cubic root of 404882400 is about 739.7920038754.

The spelling of 404882400 in words is "four hundred four million, eight hundred eighty-two thousand, four hundred".