257150448 has 60 divisors (see below), whose sum is σ = 721328088. Its totient is φ = 85518720.

The previous prime is 257150447. The next prime is 257150477. The reversal of 257150448 is 844051752.

It is a super-2 number, since 2×257150448² = 132252705813201408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257150447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68886 + ... + 72522.

Almost surely, 2^257150448 is an apocalyptic number.

It is an amenable number.

257150448 is an abundant number, since it is smaller than the sum of its proper divisors (464177640).

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

257150448 is a wasteful number, since it uses less digits than its factorization.

257150448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 257150448 is about 16035.9111995546. The cubic root of 257150448 is about 635.9101570018.

The spelling of 257150448 in words is "two hundred fifty-seven million, one hundred fifty thousand, four hundred forty-eight".