404020400 has 120 divisors (see below), whose sum is σ = 1115282784. Its totient is φ = 137779200.

The previous prime is 404020399. The next prime is 404020451. The reversal of 404020400 is 4020404.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876170 + ... + 876630.

Almost surely, 2^404020400 is an apocalyptic number.

404020400 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 404020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557641392).

404020400 is an abundant number, since it is smaller than the sum of its proper divisors (711262384).

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

404020400 is a wasteful number, since it uses less digits than its factorization.

404020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 404020400 is about 20100.2587048028. The cubic root of 404020400 is about 739.2666218541.

Adding to 404020400 its reverse (4020404), we get a palindrome (408040804).

The spelling of 404020400 in words is "four hundred four million, twenty thousand, four hundred".