404252400 has 120 divisors (see below), whose sum is σ = 1336850944. Its totient is φ = 104313600.

The previous prime is 404252377. The next prime is 404252441. The reversal of 404252400 is 4252404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 31767 + ... + 42633.

Almost surely, 2^404252400 is an apocalyptic number.

404252400 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 404252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668425472).

404252400 is an abundant number, since it is smaller than the sum of its proper divisors (932598544).

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

404252400 is a wasteful number, since it uses less digits than its factorization.

404252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10919 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 404252400 is about 20106.0289465623. The cubic root of 404252400 is about 739.4080974150.

The spelling of 404252400 in words is "four hundred four million, two hundred fifty-two thousand, four hundred".