624004992 has 512 divisors, whose sum is σ = 2261952000. Its totient is φ = 167215104.

The previous prime is 624004981. The next prime is 624004999. The reversal of 624004992 is 299400426.

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 (624004999) 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, 14511723 + ... + 14511765.

It is an arithmetic number, because the mean of its divisors is an integer number (4417875).

Almost surely, 2^624004992 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 624004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130976000).

624004992 is an abundant number, since it is smaller than the sum of its proper divisors (1637947008).

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

624004992 is a wasteful number, since it uses less digits than its factorization.

624004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 624004992 is about 24980.0919133617. The cubic root of 624004992 is about 854.5340150848.

The spelling of 624004992 in words is "six hundred twenty-four million, four thousand, nine hundred ninety-two".