251430432 has 96 divisors (see below), whose sum is σ = 722965824. Its totient is φ = 75878400.

The previous prime is 251430427. The next prime is 251430437. The reversal of 251430432 is 234034152.

It is an interprime number because it is at equal distance from previous prime (251430427) and next prime (251430437).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (251430437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482332 + ... + 482852.

It is an arithmetic number, because the mean of its divisors is an integer number (7530894).

Almost surely, 2^251430432 is an apocalyptic number.

251430432 is a gapful number since it is divisible by the number (22) 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 251430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361482912).

251430432 is an abundant number, since it is smaller than the sum of its proper divisors (471535392).

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

251430432 is a wasteful number, since it uses less digits than its factorization.

251430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 251430432 is about 15856.5580123809. The cubic root of 251430432 is about 631.1597282670.

Adding to 251430432 its reverse (234034152), we get a palindrome (485464584).

The spelling of 251430432 in words is "two hundred fifty-one million, four hundred thirty thousand, four hundred thirty-two".