251552040 has 64 divisors (see below), whose sum is σ = 762471360. Its totient is φ = 66385920.

The previous prime is 251552033. The next prime is 251552047. The reversal of 251552040 is 40255152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (251552033) and next prime (251552047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 251552040.

It is not an unprimeable number, because it can be changed into a prime (251552047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835 + ... + 22445.

It is an arithmetic number, because the mean of its divisors is an integer number (11913615).

Almost surely, 2^251552040 is an apocalyptic number.

251552040 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 251552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381235680).

251552040 is an abundant number, since it is smaller than the sum of its proper divisors (510919320).

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

251552040 is a wasteful number, since it uses less digits than its factorization.

251552040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21722 (or 21718 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 251552040 is about 15860.3921767401. The cubic root of 251552040 is about 631.2614684058.

The spelling of 251552040 in words is "two hundred fifty-one million, five hundred fifty-two thousand, forty".