257212956 has 384 divisors, whose sum is σ = 903168000. Its totient is φ = 55883520.

The previous prime is 257212877. The next prime is 257212957. The reversal of 257212956 is 659212752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257212957) 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 127 ways as a sum of consecutive naturals, for example, 11183161 + ... + 11183183.

It is an arithmetic number, because the mean of its divisors is an integer number (2352000).

Almost surely, 2^257212956 is an apocalyptic number.

257212956 is a gapful number since it is divisible by the number (26) 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 257212956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584000).

257212956 is an abundant number, since it is smaller than the sum of its proper divisors (645955044).

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

257212956 is a wasteful number, since it uses less digits than its factorization.

257212956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 257212956 is about 16037.8600816942. The cubic root of 257212956 is about 635.9616783998.

The spelling of 257212956 in words is "two hundred fifty-seven million, two hundred twelve thousand, nine hundred fifty-six".