257400150 has 96 divisors (see below), whose sum is σ = 746642688. Its totient is φ = 57456000.

The previous prime is 257400137. The next prime is 257400191. The reversal of 257400150 is 51004752.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 257400150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42300 + ... + 48000.

It is an arithmetic number, because the mean of its divisors is an integer number (7777528).

Almost surely, 2^257400150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257400150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373321344).

257400150 is an abundant number, since it is smaller than the sum of its proper divisors (489242538).

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

257400150 is a wasteful number, since it uses less digits than its factorization.

257400150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 257400150 is about 16043.6950232794. The cubic root of 257400150 is about 636.1159206844.

The spelling of 257400150 in words is "two hundred fifty-seven million, four hundred thousand, one hundred fifty".