165974400 has 384 divisors, whose sum is σ = 648842400. Its totient is φ = 41287680.

The previous prime is 165974377. The next prime is 165974423. The reversal of 165974400 is 4479561.

165974400 is a `hidden beast` number, since 165 + 97 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (165974377) and next prime (165974423).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468744 + ... + 1468856.

Almost surely, 2^165974400 is an apocalyptic number.

165974400 is a gapful number since it is divisible by the number (10) 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 165974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324421200).

165974400 is an abundant number, since it is smaller than the sum of its proper divisors (482868000).

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

165974400 is a wasteful number, since it uses less digits than its factorization.

165974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 165974400 is about 12883.1052157467. The cubic root of 165974400 is about 549.5582127227.

The spelling of 165974400 in words is "one hundred sixty-five million, nine hundred seventy-four thousand, four hundred".