424632960 has 96 divisors (see below), whose sum is σ = 1466330580. Its totient is φ = 113233920.

The previous prime is 424632937. The next prime is 424632961. The reversal of 424632960 is 69236424.

It can be written as a sum of positive squares in 2 ways, for example, as 407393856 + 17239104 = 20184^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424632961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31101 + ... + 42620.

Almost surely, 2^424632960 is an apocalyptic number.

424632960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424632960 is an abundant number, since it is smaller than the sum of its proper divisors (1041697620).

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

424632960 is a wasteful number, since it uses less digits than its factorization.

424632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73746 (or 73731 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 424632960 is about 20606.6241776765. The cubic root of 424632960 is about 751.6307980933.

The spelling of 424632960 in words is "four hundred twenty-four million, six hundred thirty-two thousand, nine hundred sixty".