251452440 has 192 divisors, whose sum is σ = 873905760. Its totient is φ = 62484480.

The previous prime is 251452391. The next prime is 251452447. The reversal of 251452440 is 44254152.

251452440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251452447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107607 + ... + 1107833.

Almost surely, 2^251452440 is an apocalyptic number.

251452440 is a gapful number since it is divisible by the number (20) 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 251452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

251452440 is an abundant number, since it is smaller than the sum of its proper divisors (622453320).

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

251452440 is a wasteful number, since it uses less digits than its factorization.

251452440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 251452440 is about 15857.2519687366. The cubic root of 251452440 is about 631.1781431130.

The spelling of 251452440 in words is "two hundred fifty-one million, four hundred fifty-two thousand, four hundred forty".