257433792 has 168 divisors, whose sum is σ = 856171008. Its totient is φ = 66823680.

The previous prime is 257433791. The next prime is 257433797. The reversal of 257433792 is 297334752.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (257433791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161833 + ... + 163415.

It is an arithmetic number, because the mean of its divisors is an integer number (5096256).

Almost surely, 2^257433792 is an apocalyptic number.

257433792 is a gapful number since it is divisible by the number (22) 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 257433792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428085504).

257433792 is an abundant number, since it is smaller than the sum of its proper divisors (598737216).

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

257433792 is a wasteful number, since it uses less digits than its factorization.

257433792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1606 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 257433792 is about 16044.7434382729. The cubic root of 257433792 is about 636.1436327630.

The spelling of 257433792 in words is "two hundred fifty-seven million, four hundred thirty-three thousand, seven hundred ninety-two".