624228480 has 384 divisors, whose sum is σ = 2312809200. Its totient is φ = 154828800.

The previous prime is 624228439. The next prime is 624228499. The reversal of 624228480 is 84822426.

It is a happy number.

624228480 is a `hidden beast` number, since 624 + 2 + 28 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 561121344 + 63107136 = 23688^2 + 7944^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×624228480² = 779322390486220800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6180430 + ... + 6180530.

Almost surely, 2^624228480 is an apocalyptic number.

624228480 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 624228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156404600).

624228480 is an abundant number, since it is smaller than the sum of its proper divisors (1688580720).

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

624228480 is a wasteful number, since it uses less digits than its factorization.

624228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 624228480 is about 24984.5648351137. The cubic root of 624228480 is about 854.6360203066.

The spelling of 624228480 in words is "six hundred twenty-four million, two hundred twenty-eight thousand, four hundred eighty".