480500496 has 120 divisors (see below), whose sum is σ = 1586517504. Its totient is φ = 132848640.

The previous prime is 480500467. The next prime is 480500509. The reversal of 480500496 is 694005084.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480500496.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23560 + ... + 38936.

Almost surely, 2^480500496 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 480500496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793258752).

480500496 is an abundant number, since it is smaller than the sum of its proper divisors (1106017008).

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

480500496 is a wasteful number, since it uses less digits than its factorization.

480500496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15429 (or 15420 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 480500496 is about 21920.3215304886. The cubic root of 480500496 is about 783.2455692026.

It can be divided in two parts, 480500 and 496, that multiplied together give a cube (238328000 = 620³).

The spelling of 480500496 in words is "four hundred eighty million, five hundred thousand, four hundred ninety-six".