74181400 has 48 divisors (see below), whose sum is σ = 173582640. Its totient is φ = 29481600.

The previous prime is 74181347. The next prime is 74181427. The reversal of 74181400 is 418147.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 32290 + ... + 34510.

It is an arithmetic number, because the mean of its divisors is an integer number (3616305).

Almost surely, 2^74181400 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 74181400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86791320).

74181400 is an abundant number, since it is smaller than the sum of its proper divisors (99401240).

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

74181400 is a wasteful number, since it uses less digits than its factorization.

74181400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 74181400 is about 8612.8624742300. The cubic root of 74181400 is about 420.1764187053.

Adding to 74181400 its reverse (418147), we get a palindrome (74599547).

The spelling of 74181400 in words is "seventy-four million, one hundred eighty-one thousand, four hundred".