257429040 has 80 divisors (see below), whose sum is σ = 870587136. Its totient is φ = 62406400.

The previous prime is 257429021. The next prime is 257429047. The reversal of 257429040 is 40924752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 257428992 and 257429010.

It is not an unprimeable number, because it can be changed into a prime (257429047) 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, 46116 + ... + 51395.

Almost surely, 2^257429040 is an apocalyptic number.

257429040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257429040 is an abundant number, since it is smaller than the sum of its proper divisors (613158096).

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

257429040 is a wasteful number, since it uses less digits than its factorization.

257429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97538 (or 97532 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 257429040 is about 16044.5953517064. The cubic root of 257429040 is about 636.1397185227.

The spelling of 257429040 in words is "two hundred fifty-seven million, four hundred twenty-nine thousand, forty".