74401416 has 80 divisors (see below), whose sum is σ = 219397200. Its totient is φ = 23491296.

The previous prime is 74401409. The next prime is 74401421. The reversal of 74401416 is 61410447.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 74401416.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9291 + ... + 15333.

It is an arithmetic number, because the mean of its divisors is an integer number (2742465).

Almost surely, 2^74401416 is an apocalyptic number.

74401416 is a gapful number since it is divisible by the number (76) 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 74401416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109698600).

74401416 is an abundant number, since it is smaller than the sum of its proper divisors (144995784).

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

74401416 is a wasteful number, since it uses less digits than its factorization.

74401416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74401416 is about 8625.6255425331. The cubic root of 74401416 is about 420.5914117265.

The spelling of 74401416 in words is "seventy-four million, four hundred one thousand, four hundred sixteen".