414978756 has 12 divisors (see below), whose sum is σ = 968283792. Its totient is φ = 138326248.

The previous prime is 414978737. The next prime is 414978763. The reversal of 414978756 is 657879414.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 414978699 and 414978708.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17290770 + ... + 17290793.

It is an arithmetic number, because the mean of its divisors is an integer number (80690316).

Almost surely, 2^414978756 is an apocalyptic number.

It is an amenable number.

414978756 is an abundant number, since it is smaller than the sum of its proper divisors (553305036).

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

414978756 is a wasteful number, since it uses less digits than its factorization.

414978756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34581570 (or 34581568 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 414978756 is about 20371.0273673175. The cubic root of 414978756 is about 745.8908646805.

The spelling of 414978756 in words is "four hundred fourteen million, nine hundred seventy-eight thousand, seven hundred fifty-six".