412232000400 has 720 divisors, whose sum is σ = 1667341765440. Its totient is φ = 93206937600.

The previous prime is 412232000377. The next prime is 412232000441. The reversal of 412232000400 is 4000232214.

412232000400 is a `hidden beast` number, since 41 + 2 + 23 + 200 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76068891 + ... + 76074309.

It is an arithmetic number, because the mean of its divisors is an integer number (2315752452).

Almost surely, 2^412232000400 is an apocalyptic number.

412232000400 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 412232000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833670882720).

412232000400 is an abundant number, since it is smaller than the sum of its proper divisors (1255109765040).

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

412232000400 is a wasteful number, since it uses less digits than its factorization.

412232000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 412232000400 its reverse (4000232214), we get a palindrome (416232232614).

The spelling of 412232000400 in words is "four hundred twelve billion, two hundred thirty-two million, four hundred", and thus it is an aban number.