414708076820 has 24 divisors (see below), whose sum is σ = 871907966664. Its totient is φ = 165688753536.

The previous prime is 414708076817. The next prime is 414708076823. The reversal of 414708076820 is 28670807414.

It is an interprime number because it is at equal distance from previous prime (414708076817) and next prime (414708076823).

It can be written as a sum of positive squares in 4 ways, for example, as 1945515664 + 412762561156 = 44108^2 + 642466^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414708076823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12137339 + ... + 12171458.

It is an arithmetic number, because the mean of its divisors is an integer number (36329498611).

Almost surely, 2^414708076820 is an apocalyptic number.

It is an amenable number.

414708076820 is an abundant number, since it is smaller than the sum of its proper divisors (457199889844).

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

414708076820 is a wasteful number, since it uses less digits than its factorization.

414708076820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24309659 (or 24309657 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The spelling of 414708076820 in words is "four hundred fourteen billion, seven hundred eight million, seventy-six thousand, eight hundred twenty".