257233284 has 144 divisors (see below), whose sum is σ = 822721536. Its totient is φ = 65822400.

The previous prime is 257233283. The next prime is 257233297. The reversal of 257233284 is 482332752.

257233284 is a `hidden beast` number, since 2 + 572 + 3 + 3 + 2 + 84 = 666.

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 (257233283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196159 + ... + 197465.

It is an arithmetic number, because the mean of its divisors is an integer number (5713344).

Almost surely, 2^257233284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257233284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411360768).

257233284 is an abundant number, since it is smaller than the sum of its proper divisors (565488252).

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

257233284 is a wasteful number, since it uses less digits than its factorization.

257233284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1401 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 257233284 is about 16038.4938195580. The cubic root of 257233284 is about 635.9784316882.

The spelling of 257233284 in words is "two hundred fifty-seven million, two hundred thirty-three thousand, two hundred eighty-four".