257195380 has 48 divisors (see below), whose sum is σ = 615882960. Its totient is φ = 89376768.

The previous prime is 257195377. The next prime is 257195383. The reversal of 257195380 is 83591752.

It is an interprime number because it is at equal distance from previous prime (257195377) and next prime (257195383).

It can be written as a sum of positive squares in 8 ways, for example, as 31114084 + 226081296 = 5578^2 + 15036^2 .

It is a super-2 number, since 2×257195380² = 132298926986688800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257195383) 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 15 ways as a sum of consecutive naturals, for example, 24675 + ... + 33514.

It is an arithmetic number, because the mean of its divisors is an integer number (12830895).

Almost surely, 2^257195380 is an apocalyptic number.

257195380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257195380 is an abundant number, since it is smaller than the sum of its proper divisors (358687580).

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

257195380 is a wasteful number, since it uses less digits than its factorization.

257195380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58228 (or 58226 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 257195380 is about 16037.3121189307. The cubic root of 257195380 is about 635.9471924563.

The spelling of 257195380 in words is "two hundred fifty-seven million, one hundred ninety-five thousand, three hundred eighty".