412515400 has 48 divisors (see below), whose sum is σ = 1046294640. Its totient is φ = 150004800.

The previous prime is 412515361. The next prime is 412515407. The reversal of 412515400 is 4515214.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (412515407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91554 + ... + 95953.

It is an arithmetic number, because the mean of its divisors is an integer number (21797805).

Almost surely, 2^412515400 is an apocalyptic number.

412515400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412515400 is an abundant number, since it is smaller than the sum of its proper divisors (633779240).

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

412515400 is a wasteful number, since it uses less digits than its factorization.

412515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187534 (or 187525 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 412515400 is about 20310.4751298437. The cubic root of 412515400 is about 744.4120400406.

The spelling of 412515400 in words is "four hundred twelve million, five hundred fifteen thousand, four hundred".