251396946 has 80 divisors (see below), whose sum is σ = 594158400. Its totient is φ = 79291872.

The previous prime is 251396939. The next prime is 251396983. The reversal of 251396946 is 649693152.

251396946 is a `hidden beast` number, since 2 + 513 + 96 + 9 + 46 = 666.

251396946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 405825 + ... + 406443.

It is an arithmetic number, because the mean of its divisors is an integer number (7426980).

Almost surely, 2^251396946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251396946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297079200).

251396946 is an abundant number, since it is smaller than the sum of its proper divisors (342761454).

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

251396946 is a wasteful number, since it uses less digits than its factorization.

251396946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 756 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 251396946 is about 15855.5020734129. The cubic root of 251396946 is about 631.1317073246.

The spelling of 251396946 in words is "two hundred fifty-one million, three hundred ninety-six thousand, nine hundred forty-six".