257041752 has 48 divisors (see below), whose sum is σ = 706341720. Its totient is φ = 77890560.

The previous prime is 257041727. The next prime is 257041769. The reversal of 257041752 is 257140752.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 41353 + ... + 47160.

Almost surely, 2^257041752 is an apocalyptic number.

257041752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257041752 is an abundant number, since it is smaller than the sum of its proper divisors (449299968).

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

257041752 is a wasteful number, since it uses less digits than its factorization.

257041752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88544 (or 88529 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 257041752 is about 16032.5216980985. The cubic root of 257041752 is about 635.8205458653.

The spelling of 257041752 in words is "two hundred fifty-seven million, forty-one thousand, seven hundred fifty-two".