257207040 has 216 divisors, whose sum is σ = 903979440. Its totient is φ = 67510272.

The previous prime is 257207029. The next prime is 257207051. The reversal of 257207040 is 40702752.

It is an interprime number because it is at equal distance from previous prime (257207029) and next prime (257207051).

It is a super-2 number, since 2×257207040² = 132310922851123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257206995 and 257207013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956026 + ... + 956294.

It is an arithmetic number, because the mean of its divisors is an integer number (4185090).

Almost surely, 2^257207040 is an apocalyptic number.

257207040 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 257207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451989720).

257207040 is an abundant number, since it is smaller than the sum of its proper divisors (646772400).

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

257207040 is a wasteful number, since it uses less digits than its factorization.

257207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 257207040 is about 16037.6756420623. The cubic root of 257207040 is about 635.9568025722.

Adding to 257207040 its reverse (40702752), we get a palindrome (297909792).

The spelling of 257207040 in words is "two hundred fifty-seven million, two hundred seven thousand, forty".