407984672528 has 80 divisors (see below), whose sum is σ = 864902499840. Its totient is φ = 185598412800.

The previous prime is 407984672489. The next prime is 407984672533. The reversal of 407984672528 is 825276489704.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7908803 + ... + 7960221.

It is an arithmetic number, because the mean of its divisors is an integer number (10811281248).

Almost surely, 2^407984672528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407984672528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432451249920).

407984672528 is an abundant number, since it is smaller than the sum of its proper divisors (456917827312).

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

407984672528 is a wasteful number, since it uses less digits than its factorization.

407984672528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52416 (or 52410 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 62.

The spelling of 407984672528 in words is "four hundred seven billion, nine hundred eighty-four million, six hundred seventy-two thousand, five hundred twenty-eight".