74964400 has 120 divisors (see below), whose sum is σ = 211173984. Its totient is φ = 25036800.

The previous prime is 74964377. The next prime is 74964401. The reversal of 74964400 is 446947.

It is a super-2 number, since 2×74964400² = 11239322534720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74964401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114474 + ... + 115126.

Almost surely, 2^74964400 is an apocalyptic number.

74964400 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 74964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105586992).

74964400 is an abundant number, since it is smaller than the sum of its proper divisors (136209584).

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

74964400 is a wasteful number, since it uses less digits than its factorization.

74964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 74964400 is about 8658.1984269246. The cubic root of 74964400 is about 421.6495971954.

The spelling of 74964400 in words is "seventy-four million, nine hundred sixty-four thousand, four hundred".