412324800 has 336 divisors, whose sum is σ = 1487619072. Its totient is φ = 99532800.

The previous prime is 412324799. The next prime is 412324811. The reversal of 412324800 is 8423214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529519 + ... + 2529681.

Almost surely, 2^412324800 is an apocalyptic number.

412324800 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 412324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743809536).

412324800 is an abundant number, since it is smaller than the sum of its proper divisors (1075294272).

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

412324800 is a wasteful number, since it uses less digits than its factorization.

412324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 412324800 is about 20305.7824276732. The cubic root of 412324800 is about 744.2973721658.

The spelling of 412324800 in words is "four hundred twelve million, three hundred twenty-four thousand, eight hundred".