624422400 has 480 divisors, whose sum is σ = 2484269568. Its totient is φ = 135168000.

The previous prime is 624422389. The next prime is 624422419. The reversal of 624422400 is 4224426.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 6182350 + ... + 6182450.

Almost surely, 2^624422400 is an apocalyptic number.

624422400 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 624422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242134784).

624422400 is an abundant number, since it is smaller than the sum of its proper divisors (1859847168).

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

624422400 is a wasteful number, since it uses less digits than its factorization.

624422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 624422400 is about 24988.4453297919. The cubic root of 624422400 is about 854.7245102658.

Adding to 624422400 its reverse (4224426), we get a palindrome (628646826).

The spelling of 624422400 in words is "six hundred twenty-four million, four hundred twenty-two thousand, four hundred".