407964978 has 32 divisors (see below), whose sum is σ = 907441920. Its totient is φ = 135860400.

The previous prime is 407964959. The next prime is 407964983. The reversal of 407964978 is 879469704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67351 + ... + 73157.

It is an arithmetic number, because the mean of its divisors is an integer number (28357560).

Almost surely, 2^407964978 is an apocalyptic number.

407964978 is an abundant number, since it is smaller than the sum of its proper divisors (499476942).

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

407964978 is a wasteful number, since it uses less digits than its factorization.

407964978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 407964978 is about 20198.1429344383. The cubic root of 407964978 is about 741.6647315749.

The spelling of 407964978 in words is "four hundred seven million, nine hundred sixty-four thousand, nine hundred seventy-eight".