257626980 has 180 divisors, whose sum is σ = 876065652. Its totient is φ = 63348480.

The previous prime is 257626969. The next prime is 257627009. The reversal of 257626980 is 89626752.

It can be written as a sum of positive squares in 6 ways, for example, as 39237696 + 218389284 = 6264^2 + 14778^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273310 + ... + 274250.

Almost surely, 2^257626980 is an apocalyptic number.

257626980 is a gapful number since it is divisible by the number (20) 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 257626980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438032826).

257626980 is an abundant number, since it is smaller than the sum of its proper divisors (618438672).

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

257626980 is a wasteful number, since it uses less digits than its factorization.

257626980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 257626980 is about 16050.7625987054. The cubic root of 257626980 is about 636.3027216770.

The spelling of 257626980 in words is "two hundred fifty-seven million, six hundred twenty-six thousand, nine hundred eighty".