412424734680 has 288 divisors, whose sum is σ = 1581183620640. Its totient is φ = 92940503040.

The previous prime is 412424734633. The next prime is 412424734693. The reversal of 412424734680 is 86437424214.

412424734680 is a `hidden beast` number, since 41 + 2 + 424 + 73 + 46 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1087792 + ... + 1417088.

It is an arithmetic number, because the mean of its divisors is an integer number (5490220905).

Almost surely, 2^412424734680 is an apocalyptic number.

412424734680 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 412424734680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790591810320).

412424734680 is an abundant number, since it is smaller than the sum of its proper divisors (1168758885960).

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

412424734680 is a wasteful number, since it uses less digits than its factorization.

412424734680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329399 (or 329385 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 412424734680 in words is "four hundred twelve billion, four hundred twenty-four million, seven hundred thirty-four thousand, six hundred eighty".