74014400 has 84 divisors (see below), whose sum is σ = 183873648. Its totient is φ = 29322240.

The previous prime is 74014373. The next prime is 74014429. The reversal of 74014400 is 441047.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267062 + ... + 267338.

It is an arithmetic number, because the mean of its divisors is an integer number (2188972).

Almost surely, 2^74014400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91936824).

74014400 is an abundant number, since it is smaller than the sum of its proper divisors (109859248).

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

74014400 is a wasteful number, since it uses less digits than its factorization.

74014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 74014400 is about 8603.1622093275. The cubic root of 74014400 is about 419.8608760673.

Adding to 74014400 its reverse (441047), we get a palindrome (74455447).

The spelling of 74014400 in words is "seventy-four million, fourteen thousand, four hundred".