74474400 has 576 divisors, whose sum is σ = 335978496. Its totient is φ = 13824000.

The previous prime is 74474383. The next prime is 74474503. The reversal of 74474400 is 447447.

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 95 ways as a sum of consecutive naturals, for example, 2402385 + ... + 2402415.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 2^74474400 is an apocalyptic number.

74474400 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 74474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

74474400 is an abundant number, since it is smaller than the sum of its proper divisors (261504096).

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

74474400 is a wasteful number, since it uses less digits than its factorization.

74474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 74474400 is about 8629.8551552155. The cubic root of 74474400 is about 420.7288930340.

It can be divided in two parts, 744 and 74400, that multiplied together give a square (55353600 = 7440²).

The spelling of 74474400 in words is "seventy-four million, four hundred seventy-four thousand, four hundred".