501396480 has 528 divisors, whose sum is σ = 2002850304. Its totient is φ = 119439360.

The previous prime is 501396479. The next prime is 501396551. The reversal of 501396480 is 84693105.

501396480 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 9 + 648 + 0 = 666.

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16174065 + ... + 16174095.

Almost surely, 2^501396480 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 501396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001425152).

501396480 is an abundant number, since it is smaller than the sum of its proper divisors (1501453824).

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

501396480 is a wasteful number, since it uses less digits than its factorization.

501396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 501396480 is about 22391.8842440738. The cubic root of 501396480 is about 794.4387637276.

The spelling of 501396480 in words is "five hundred one million, three hundred ninety-six thousand, four hundred eighty".