480864800 has 72 divisors (see below), whose sum is σ = 1264239396. Its totient is φ = 177546240.

The previous prime is 480864767. The next prime is 480864803. The reversal of 480864800 is 8468084.

It can be written as a sum of positive squares in 6 ways, for example, as 220106896 + 260757904 = 14836^2 + 16148^2 .

It is a super-3 number, since 3×480864800³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480864803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12719 + ... + 33518.

Almost surely, 2^480864800 is an apocalyptic number.

480864800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480864800 is an abundant number, since it is smaller than the sum of its proper divisors (783374596).

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

480864800 is a wasteful number, since it uses less digits than its factorization.

480864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46270 (or 46257 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 480864800 is about 21928.6296881497. The cubic root of 480864800 is about 783.4434652256.

The spelling of 480864800 in words is "four hundred eighty million, eight hundred sixty-four thousand, eight hundred".