257461704 has 144 divisors (see below), whose sum is σ = 759267600. Its totient is φ = 78579072.

The previous prime is 257461679. The next prime is 257461709. The reversal of 257461704 is 407164752.

257461704 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (257461709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3842679 + ... + 3842745.

Almost surely, 2^257461704 is an apocalyptic number.

257461704 is a gapful number since it is divisible by the number (24) 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 257461704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379633800).

257461704 is an abundant number, since it is smaller than the sum of its proper divisors (501805896).

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

257461704 is a wasteful number, since it uses less digits than its factorization.

257461704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 257461704 is about 16045.6132322825. The cubic root of 257461704 is about 636.1666230100.

The spelling of 257461704 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, seven hundred four".