1257831240 has 64 divisors (see below), whose sum is σ = 3792528000. Its totient is φ = 333729792.

The previous prime is 1257831233. The next prime is 1257831247. The reversal of 1257831240 is 421387521.

It is an interprime number because it is at equal distance from previous prime (1257831233) and next prime (1257831247).

It is not an unprimeable number, because it can be changed into a prime (1257831247) 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, 2457 + ... + 50216.

It is an arithmetic number, because the mean of its divisors is an integer number (59258250).

Almost surely, 2^1257831240 is an apocalyptic number.

1257831240 is a gapful number since it is divisible by the number (10) 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 1257831240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896264000).

1257831240 is an abundant number, since it is smaller than the sum of its proper divisors (2534696760).

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

1257831240 is a wasteful number, since it uses less digits than its factorization.

1257831240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52886 (or 52882 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1257831240 is about 35465.9165960786. The cubic root of 1257831240 is about 1079.4622494360.

The spelling of 1257831240 in words is "one billion, two hundred fifty-seven million, eight hundred thirty-one thousand, two hundred forty".