480246624 has 384 divisors, whose sum is σ = 1727308800. Its totient is φ = 128494080.

The previous prime is 480246623. The next prime is 480246629. The reversal of 480246624 is 426642084.

It is a happy number.

480246624 is a `hidden beast` number, since 4 + 8 + 0 + 24 + 6 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480246623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20880277 + ... + 20880299.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^480246624 is an apocalyptic number.

480246624 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 480246624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

480246624 is an abundant number, since it is smaller than the sum of its proper divisors (1247062176).

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

480246624 is a wasteful number, since it uses less digits than its factorization.

480246624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 480246624 is about 21914.5299744256. The cubic root of 480246624 is about 783.1076025402.

The spelling of 480246624 in words is "four hundred eighty million, two hundred forty-six thousand, six hundred twenty-four".