501432960 has 128 divisors (see below), whose sum is σ = 1826697600. Its totient is φ = 114610176.

The previous prime is 501432941. The next prime is 501432961. The reversal of 501432960 is 69234105.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (501432961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215 + ... + 32094.

It is an arithmetic number, because the mean of its divisors is an integer number (14271075).

Almost surely, 2^501432960 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 501432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913348800).

501432960 is an abundant number, since it is smaller than the sum of its proper divisors (1325264640).

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

501432960 is a wasteful number, since it uses less digits than its factorization.

501432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37338 (or 37326 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 501432960 is about 22392.6988101033. The cubic root of 501432960 is about 794.4580301993.

The spelling of 501432960 in words is "five hundred one million, four hundred thirty-two thousand, nine hundred sixty".