257246472 has 192 divisors, whose sum is σ = 816696000. Its totient is φ = 67060224.

The previous prime is 257246461. The next prime is 257246477. The reversal of 257246472 is 274642752.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 257246472.

It is not an unprimeable number, because it can be changed into a prime (257246477) 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, 647778 + ... + 648174.

It is an arithmetic number, because the mean of its divisors is an integer number (4253625).

Almost surely, 2^257246472 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 257246472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348000).

257246472 is an abundant number, since it is smaller than the sum of its proper divisors (559449528).

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

257246472 is a wasteful number, since it uses less digits than its factorization.

257246472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 257246472 is about 16038.9049501517. The cubic root of 257246472 is about 635.9893000850.

The spelling of 257246472 in words is "two hundred fifty-seven million, two hundred forty-six thousand, four hundred seventy-two".