74950400 has 162 divisors, whose sum is σ = 216704880. Its totient is φ = 25589760.

The previous prime is 74950373. The next prime is 74950409. The reversal of 74950400 is 405947.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74950409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 313481 + ... + 313719.

Almost surely, 2^74950400 is an apocalyptic number.

74950400 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 74950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108352440).

74950400 is an abundant number, since it is smaller than the sum of its proper divisors (141754480).

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

74950400 is a wasteful number, since it uses less digits than its factorization.

74950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 74950400 is about 8657.3899068946. The cubic root of 74950400 is about 421.6233471271.

The spelling of 74950400 in words is "seventy-four million, nine hundred fifty thousand, four hundred".