188974464 has 128 divisors (see below), whose sum is σ = 578054400. Its totient is φ = 53581824.

The previous prime is 188974459. The next prime is 188974477. The reversal of 188974464 is 464479881.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×188974464² = 71422696088174592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615399 + ... + 615705.

It is an arithmetic number, because the mean of its divisors is an integer number (4516050).

Almost surely, 2^188974464 is an apocalyptic number.

188974464 is a gapful number since it is divisible by the number (14) 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 188974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289027200).

188974464 is an abundant number, since it is smaller than the sum of its proper divisors (389079936).

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

188974464 is a wasteful number, since it uses less digits than its factorization.

With its successor (188974465) it forms an eRAP, since the sums of their prime factors are consecutive (560 and 561).

188974464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 188974464 is about 13746.7983181539. The cubic root of 188974464 is about 573.8535078419.

The spelling of 188974464 in words is "one hundred eighty-eight million, nine hundred seventy-four thousand, four hundred sixty-four".