624948480 has 432 divisors, whose sum is σ = 2423856960. Its totient is φ = 152395776.

The previous prime is 624948449. The next prime is 624948491. The reversal of 624948480 is 84849426.

624948480 is a `hidden beast` number, since 6 + 2 + 494 + 84 + 80 = 666.

624948480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5840587 + ... + 5840693.

It is an arithmetic number, because the mean of its divisors is an integer number (5610780).

Almost surely, 2^624948480 is an apocalyptic number.

624948480 is a gapful number since it is divisible by the number (60) 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 624948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211928480).

624948480 is an abundant number, since it is smaller than the sum of its proper divisors (1798908480).

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

624948480 is a wasteful number, since it uses less digits than its factorization.

624948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 624948480 is about 24998.9695787646. The cubic root of 624948480 is about 854.9644799033.

The spelling of 624948480 in words is "six hundred twenty-four million, nine hundred forty-eight thousand, four hundred eighty".