257404752 has 240 divisors, whose sum is σ = 849588480. Its totient is φ = 72483840.

The previous prime is 257404747. The next prime is 257404757.

It is a happy number.

257404752 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (257404747) and next prime (257404757).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257404757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3258249 + ... + 3258327.

It is an arithmetic number, because the mean of its divisors is an integer number (3539952).

Almost surely, 2^257404752 is an apocalyptic number.

257404752 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 257404752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424794240).

257404752 is an abundant number, since it is smaller than the sum of its proper divisors (592183728).

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

257404752 is a wasteful number, since it uses less digits than its factorization.

257404752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 257404752 is about 16043.8384434648. The cubic root of 257404752 is about 636.1197116535.

The spelling of 257404752 in words is "two hundred fifty-seven million, four hundred four thousand, seven hundred fifty-two".