74852400 has 360 divisors, whose sum is σ = 297986880. Its totient is φ = 15966720.

The previous prime is 74852363. The next prime is 74852447. The reversal of 74852400 is 425847.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1117167 + ... + 1117233.

Almost surely, 2^74852400 is an apocalyptic number.

74852400 is a gapful number since it is divisible by the number (70) 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 74852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148993440).

74852400 is an abundant number, since it is smaller than the sum of its proper divisors (223134480).

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

74852400 is a wasteful number, since it uses less digits than its factorization.

74852400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 74852400 is about 8651.7281510690. The cubic root of 74852400 is about 421.4395050583.

The spelling of 74852400 in words is "seventy-four million, eight hundred fifty-two thousand, four hundred".