257673420 has 96 divisors (see below), whose sum is σ = 848836800. Its totient is φ = 64668672.

The previous prime is 257673407. The next prime is 257673443. The reversal of 257673420 is 24376752.

It is a happy number.

257673420 is a `hidden beast` number, since 257 + 67 + 342 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4855 + ... + 23214.

It is an arithmetic number, because the mean of its divisors is an integer number (8842050).

Almost surely, 2^257673420 is an apocalyptic number.

257673420 is a gapful number since it is divisible by the number (20) 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 257673420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424418400).

257673420 is an abundant number, since it is smaller than the sum of its proper divisors (591163380).

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

257673420 is a wasteful number, since it uses less digits than its factorization.

257673420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28104 (or 28096 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 257673420 is about 16052.2091937527. The cubic root of 257673420 is about 636.3409528216.

The spelling of 257673420 in words is "two hundred fifty-seven million, six hundred seventy-three thousand, four hundred twenty".