412400400 has 60 divisors (see below), whose sum is σ = 1321059792. Its totient is φ = 109973120.

The previous prime is 412400381. The next prime is 412400411. The reversal of 412400400 is 4004214.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 412400400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170634 + ... + 173033.

Almost surely, 2^412400400 is an apocalyptic number.

412400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412400400 is an abundant number, since it is smaller than the sum of its proper divisors (908659392).

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

412400400 is a wasteful number, since it uses less digits than its factorization.

412400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343688 (or 343677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 412400400 is about 20307.6438810611. The cubic root of 412400400 is about 744.3428585095.

Adding to 412400400 its reverse (4004214), we get a palindrome (416404614).

The spelling of 412400400 in words is "four hundred twelve million, four hundred thousand, four hundred".