257432448 has 256 divisors, whose sum is σ = 863654400. Its totient is φ = 66134016.

The previous prime is 257432447. The next prime is 257432473. The reversal of 257432448 is 844234752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257432447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851963 + ... + 1852101.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^257432448 is an apocalyptic number.

257432448 is a gapful number since it is divisible by the number (28) 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 257432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

257432448 is an abundant number, since it is smaller than the sum of its proper divisors (606221952).

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

257432448 is a wasteful number, since it uses less digits than its factorization.

257432448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 257432448 is about 16044.7015553422. The cubic root of 257432448 is about 636.1425257100.

The spelling of 257432448 in words is "two hundred fifty-seven million, four hundred thirty-two thousand, four hundred forty-eight".