624576420 has 240 divisors, whose sum is σ = 2158345728. Its totient is φ = 150232320.

The previous prime is 624576389. The next prime is 624576443. The reversal of 624576420 is 24675426.

624576420 is a `hidden beast` number, since 6 + 2 + 4 + 5 + 7 + 642 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 989505 + ... + 990135.

Almost surely, 2^624576420 is an apocalyptic number.

624576420 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 624576420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079172864).

624576420 is an abundant number, since it is smaller than the sum of its proper divisors (1533769308).

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

624576420 is a wasteful number, since it uses less digits than its factorization.

624576420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 624576420 is about 24991.5269641533. The cubic root of 624576420 is about 854.7947799245.

The spelling of 624576420 in words is "six hundred twenty-four million, five hundred seventy-six thousand, four hundred twenty".