623198400 has 504 divisors, whose sum is σ = 2387711760. Its totient is φ = 141926400.

The previous prime is 623198399. The next prime is 623198413. The reversal of 623198400 is 4891326.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16843182 + ... + 16843218.

Almost surely, 2^623198400 is an apocalyptic number.

623198400 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 623198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193855880).

623198400 is an abundant number, since it is smaller than the sum of its proper divisors (1764513360).

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

623198400 is a wasteful number, since it uses less digits than its factorization.

623198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 623198400 is about 24963.9419964075. The cubic root of 623198400 is about 854.1656646693.

The spelling of 623198400 in words is "six hundred twenty-three million, one hundred ninety-eight thousand, four hundred".