404928400 has 30 divisors (see below), whose sum is σ = 972841442. Its totient is φ = 161971200.

The previous prime is 404928371. The next prime is 404928401. The reversal of 404928400 is 4829404.

It can be written as a sum of positive squares in 3 ways, for example, as 104530176 + 300398224 = 10224^2 + 17332^2 .

It is not an unprimeable number, because it can be changed into a prime (404928401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505761 + ... + 506560.

Almost surely, 2^404928400 is an apocalyptic number.

404928400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404928400 is an abundant number, since it is smaller than the sum of its proper divisors (567913042).

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

404928400 is a wasteful number, since it uses less digits than its factorization.

404928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012339 (or 1012328 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 404928400 is about 20122.8328025653. The cubic root of 404928400 is about 739.8200195358.

The spelling of 404928400 in words is "four hundred four million, nine hundred twenty-eight thousand, four hundred".