1257433540 has 48 divisors (see below), whose sum is σ = 2883916224. Its totient is φ = 456732800.

The previous prime is 1257433531. The next prime is 1257433549. The reversal of 1257433540 is 453347521.

It is an interprime number because it is at equal distance from previous prime (1257433531) and next prime (1257433549).

It is a super-2 number, since 2×1257433540² = 3162278215033863200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1257433496 and 1257433505.

It is not an unprimeable number, because it can be changed into a prime (1257433549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230727 + ... + 236113.

It is an arithmetic number, because the mean of its divisors is an integer number (60081588).

Almost surely, 2^1257433540 is an apocalyptic number.

1257433540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257433540 is an abundant number, since it is smaller than the sum of its proper divisors (1626482684).

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

1257433540 is a wasteful number, since it uses less digits than its factorization.

1257433540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6468 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 1257433540 is about 35460.3093613127. The cubic root of 1257433540 is about 1079.3484696282.

The spelling of 1257433540 in words is "one billion, two hundred fifty-seven million, four hundred thirty-three thousand, five hundred forty".