201974256 has 160 divisors (see below), whose sum is σ = 666028800. Its totient is φ = 57957120.

The previous prime is 201974251. The next prime is 201974261. The reversal of 201974256 is 652479102.

It is an interprime number because it is at equal distance from previous prime (201974251) and next prime (201974261).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201974256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201974251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89170 + ... + 91406.

It is an arithmetic number, because the mean of its divisors is an integer number (4162680).

Almost surely, 2^201974256 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 201974256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333014400).

201974256 is an abundant number, since it is smaller than the sum of its proper divisors (464054544).

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

201974256 is a wasteful number, since it uses less digits than its factorization.

201974256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2272 counting only the distinct ones).

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

The square root of 201974256 is about 14211.7647039346. The cubic root of 201974256 is about 586.7215037125.

The spelling of 201974256 in words is "two hundred one million, nine hundred seventy-four thousand, two hundred fifty-six".