480763008 has 144 divisors (see below), whose sum is σ = 1521087750. Its totient is φ = 145643520.

The previous prime is 480762977. The next prime is 480763069. The reversal of 480763008 is 800367084.

It can be written as a sum of positive squares in only one way, i.e., 480135744 + 627264 = 21912^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×480763008³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 17 ways as a sum of consecutive naturals, for example, 137668 + ... + 141116.

Almost surely, 2^480763008 is an apocalyptic number.

480763008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760543875).

480763008 is an abundant number, since it is smaller than the sum of its proper divisors (1040324742).

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

480763008 is a wasteful number, since it uses less digits than its factorization.

480763008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480763008 is about 21926.3085812455. The cubic root of 480763008 is about 783.3881801746.

The spelling of 480763008 in words is "four hundred eighty million, seven hundred sixty-three thousand, eight".