624972348 has 480 divisors, whose sum is σ = 2294949888. Its totient is φ = 143078400.

The previous prime is 624972289. The next prime is 624972349. The reversal of 624972348 is 843279426.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (624972349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13297261 + ... + 13297307.

Almost surely, 2^624972348 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 624972348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147474944).

624972348 is an abundant number, since it is smaller than the sum of its proper divisors (1669977540).

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

624972348 is a wasteful number, since it uses less digits than its factorization.

624972348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 624972348 is about 24999.4469538828. The cubic root of 624972348 is about 854.9753640178.

The spelling of 624972348 in words is "six hundred twenty-four million, nine hundred seventy-two thousand, three hundred forty-eight".