501474960 has 480 divisors, whose sum is σ = 2061296640. Its totient is φ = 106831872.

The previous prime is 501474929. The next prime is 501474971. The reversal of 501474960 is 69474105.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6869484 + ... + 6869556.

It is an arithmetic number, because the mean of its divisors is an integer number (4294368).

Almost surely, 2^501474960 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 501474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030648320).

501474960 is an abundant number, since it is smaller than the sum of its proper divisors (1559821680).

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

501474960 is a wasteful number, since it uses less digits than its factorization.

501474960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 501474960 is about 22393.6365961404. The cubic root of 501474960 is about 794.4802108352.

The spelling of 501474960 in words is "five hundred one million, four hundred seventy-four thousand, nine hundred sixty".