412387200 has 480 divisors, whose sum is σ = 1599276360. Its totient is φ = 104509440.

The previous prime is 412387187. The next prime is 412387201. The reversal of 412387200 is 2783214.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412387201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9590379 + ... + 9590421.

Almost surely, 2^412387200 is an apocalyptic number.

412387200 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 412387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799638180).

412387200 is an abundant number, since it is smaller than the sum of its proper divisors (1186889160).

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

412387200 is a wasteful number, since it uses less digits than its factorization.

412387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 412387200 is about 20307.3188776855. The cubic root of 412387200 is about 744.3349168501.

The spelling of 412387200 in words is "four hundred twelve million, three hundred eighty-seven thousand, two hundred".