251420364 has 72 divisors (see below), whose sum is σ = 701168832. Its totient is φ = 75467520.

The previous prime is 251420353. The next prime is 251420387. The reversal of 251420364 is 463024152.

251420364 is digitally balanced in base 3, 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 (27) 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 23 ways as a sum of consecutive naturals, for example, 12637 + ... + 25739.

It is an arithmetic number, because the mean of its divisors is an integer number (9738456).

Almost surely, 2^251420364 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 251420364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350584416).

251420364 is an abundant number, since it is smaller than the sum of its proper divisors (449748468).

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

251420364 is a wasteful number, since it uses less digits than its factorization.

251420364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13167 (or 13162 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 251420364 is about 15856.2405380342. The cubic root of 251420364 is about 631.1513036690.

The spelling of 251420364 in words is "two hundred fifty-one million, four hundred twenty thousand, three hundred sixty-four".