412524059400 has 288 divisors, whose sum is σ = 1460473934400. Its totient is φ = 104061888000.

The previous prime is 412524059393. The next prime is 412524059461. The reversal of 412524059400 is 4950425214.

It is a happy number.

412524059400 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 240 + 5 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23965597 + ... + 23982803.

It is an arithmetic number, because the mean of its divisors is an integer number (5071090050).

Almost surely, 2^412524059400 is an apocalyptic number.

412524059400 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 412524059400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730236967200).

412524059400 is an abundant number, since it is smaller than the sum of its proper divisors (1047949875000).

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

412524059400 is a wasteful number, since it uses less digits than its factorization.

412524059400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17949 (or 17937 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 412524059400 in words is "four hundred twelve billion, five hundred twenty-four million, fifty-nine thousand, four hundred".