257730732 has 144 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 69024384.

The previous prime is 257730731. The next prime is 257730757. The reversal of 257730732 is 237037752.

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

It is not an unprimeable number, because it can be changed into a prime (257730731) 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, 306769 + ... + 307607.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^257730732 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 257730732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

257730732 is an abundant number, since it is smaller than the sum of its proper divisors (534799188).

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

257730732 is a wasteful number, since it uses less digits than its factorization.

257730732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 257730732 is about 16053.9942693400. The cubic root of 257730732 is about 636.3881278712.

The spelling of 257730732 in words is "two hundred fifty-seven million, seven hundred thirty thousand, seven hundred thirty-two".