251433468 has 216 divisors, whose sum is σ = 797880720. Its totient is φ = 66193920.

The previous prime is 251433449. The next prime is 251433487. The reversal of 251433468 is 864334152.

251433468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (251433449) and next prime (251433487).

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 71 ways as a sum of consecutive naturals, for example, 14790196 + ... + 14790212.

Almost surely, 2^251433468 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 251433468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398940360).

251433468 is an abundant number, since it is smaller than the sum of its proper divisors (546447252).

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

251433468 is a wasteful number, since it uses less digits than its factorization.

251433468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 251433468 is about 15856.6537453525. The cubic root of 251433468 is about 631.1622686559.

The spelling of 251433468 in words is "two hundred fifty-one million, four hundred thirty-three thousand, four hundred sixty-eight".