412368000 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 98560000.

The previous prime is 412367953. The next prime is 412368017. The reversal of 412368000 is 863214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 5807965 + ... + 5808035.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^412368000 is an apocalyptic number.

412368000 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 412368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

412368000 is an abundant number, since it is smaller than the sum of its proper divisors (1111365120).

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

412368000 is a wasteful number, since it uses less digits than its factorization.

412368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 412368000 is about 20306.8461362172. The cubic root of 412368000 is about 744.3233650429.

The spelling of 412368000 in words is "four hundred twelve million, three hundred sixty-eight thousand".