480542464 has 36 divisors (see below), whose sum is σ = 971390560. Its totient is φ = 237219840.

The previous prime is 480542449. The next prime is 480542507. The reversal of 480542464 is 464245084.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8344 + ... + 32104.

Almost surely, 2^480542464 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 480542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485695280).

480542464 is an abundant number, since it is smaller than the sum of its proper divisors (490848096).

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

480542464 is an equidigital number, since it uses as much as digits as its factorization.

480542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23856 (or 23842 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The square root of 480542464 is about 21921.2787948149. The cubic root of 480542464 is about 783.2683720185.

The spelling of 480542464 in words is "four hundred eighty million, five hundred forty-two thousand, four hundred sixty-four".