624349440 has 432 divisors, whose sum is σ = 2544534720. Its totient is φ = 139345920.

The previous prime is 624349423. The next prime is 624349441. The reversal of 624349440 is 44943426.

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

It is a junction number, because it is equal to n+sod(n) for n = 624349395 and 624349404.

It is not an unprimeable number, because it can be changed into a prime (624349441) 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 47 ways as a sum of consecutive naturals, for example, 1647171 + ... + 1647549.

Almost surely, 2^624349440 is an apocalyptic number.

624349440 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 624349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272267360).

624349440 is an abundant number, since it is smaller than the sum of its proper divisors (1920185280).

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

624349440 is a wasteful number, since it uses less digits than its factorization.

624349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 624349440 is about 24986.9854124102. The cubic root of 624349440 is about 854.6912191639.

The spelling of 624349440 in words is "six hundred twenty-four million, three hundred forty-nine thousand, four hundred forty".