257429424 has 80 divisors (see below), whose sum is σ = 780608768. Its totient is φ = 71559936.

The previous prime is 257429411. The next prime is 257429441. The reversal of 257429424 is 424924752.

257429424 = T₇₅₅₉ + T₇₅₆₀ + ... + T₇₅₆₇.

257429424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2079 + ... + 22785.

Almost surely, 2^257429424 is an apocalyptic number.

257429424 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 257429424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390304384).

257429424 is an abundant number, since it is smaller than the sum of its proper divisors (523179344).

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

257429424 is a wasteful number, since it uses less digits than its factorization.

257429424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20762 (or 20756 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 257429424 is about 16044.6073183484. The cubic root of 257429424 is about 636.1400348268.

The spelling of 257429424 in words is "two hundred fifty-seven million, four hundred twenty-nine thousand, four hundred twenty-four".