412708350600 has 1728 divisors, whose sum is σ = 1900543357440. Its totient is φ = 79194931200.

The previous prime is 412708350553. The next prime is 412708350611. The reversal of 412708350600 is 6053807214.

412708350600 is a `hidden beast` number, since 4 + 1 + 2 + 70 + 83 + 506 + 0 + 0 = 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 431 ways as a sum of consecutive naturals, for example, 604257859 + ... + 604258541.

It is an arithmetic number, because the mean of its divisors is an integer number (1099851480).

Almost surely, 2^412708350600 is an apocalyptic number.

412708350600 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 412708350600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950271678720).

412708350600 is an abundant number, since it is smaller than the sum of its proper divisors (1487835006840).

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

412708350600 is a wasteful number, since it uses less digits than its factorization.

412708350600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 412708350600 in words is "four hundred twelve billion, seven hundred eight million, three hundred fifty thousand, six hundred".