480378624 has 144 divisors (see below), whose sum is σ = 1411046784. Its totient is φ = 143872000.

The previous prime is 480378623. The next prime is 480378683. The reversal of 480378624 is 426873084.

It is a super-2 number, since 2×480378624² = 461527244792266752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480378623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852967 + ... + 853529.

It is an arithmetic number, because the mean of its divisors is an integer number (9798936).

Almost surely, 2^480378624 is an apocalyptic number.

480378624 is a gapful number since it is divisible by the number (44) 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 480378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705523392).

480378624 is an abundant number, since it is smaller than the sum of its proper divisors (930668160).

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

480378624 is a wasteful number, since it uses less digits than its factorization.

480378624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 480378624 is about 21917.5414679658. The cubic root of 480378624 is about 783.1793439671.

The spelling of 480378624 in words is "four hundred eighty million, three hundred seventy-eight thousand, six hundred twenty-four".