257072980 has 24 divisors (see below), whose sum is σ = 571610088. Its totient is φ = 96780288.

The previous prime is 257072969. The next prime is 257072999. The reversal of 257072980 is 89270752.

It can be written as a sum of positive squares in 4 ways, for example, as 73307844 + 183765136 = 8562^2 + 13556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377709 + ... + 378388.

It is an arithmetic number, because the mean of its divisors is an integer number (23817087).

Almost surely, 2^257072980 is an apocalyptic number.

257072980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257072980 is an abundant number, since it is smaller than the sum of its proper divisors (314537108).

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

257072980 is a wasteful number, since it uses less digits than its factorization.

257072980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756123 (or 756121 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 257072980 is about 16033.4955639748. The cubic root of 257072980 is about 635.8462934333.

The spelling of 257072980 in words is "two hundred fifty-seven million, seventy-two thousand, nine hundred eighty".