257650380 has 144 divisors (see below), whose sum is σ = 850624320. Its totient is φ = 62747136.

The previous prime is 257650373. The next prime is 257650387. The reversal of 257650380 is 83056752.

257650380 is a `hidden beast` number, since 2 + 5 + 76 + 503 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (257650373) and next prime (257650387).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (257650387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240486 + ... + 241554.

Almost surely, 2^257650380 is an apocalyptic number.

257650380 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 257650380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425312160).

257650380 is an abundant number, since it is smaller than the sum of its proper divisors (592973940).

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

257650380 is a wasteful number, since it uses less digits than its factorization.

257650380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 257650380 is about 16051.4915194819. The cubic root of 257650380 is about 636.3219860062.

The spelling of 257650380 in words is "two hundred fifty-seven million, six hundred fifty thousand, three hundred eighty".