251835480 has 192 divisors, whose sum is σ = 914528160. Its totient is φ = 61959168.

The previous prime is 251835457. The next prime is 251835491. The reversal of 251835480 is 84538152.

It is a happy number.

251835480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×251835480² = 126842217973660800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125364 + ... + 127356.

Almost surely, 2^251835480 is an apocalyptic number.

251835480 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 251835480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457264080).

251835480 is an abundant number, since it is smaller than the sum of its proper divisors (662692680).

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

251835480 is a wasteful number, since it uses less digits than its factorization.

251835480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 251835480 is about 15869.3251274274. The cubic root of 251835480 is about 631.4984738257.

The spelling of 251835480 in words is "two hundred fifty-one million, eight hundred thirty-five thousand, four hundred eighty".