256150624 has 48 divisors (see below), whose sum is σ = 516075840. Its totient is φ = 125112960.

The previous prime is 256150607. The next prime is 256150693. The reversal of 256150624 is 426051652.

It is a super-2 number, since 2×256150624² = 131226284351178752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398047 + ... + 398689.

It is an arithmetic number, because the mean of its divisors is an integer number (10751580).

Almost surely, 2^256150624 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 256150624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258037920).

256150624 is an abundant number, since it is smaller than the sum of its proper divisors (259925216).

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

256150624 is a wasteful number, since it uses less digits than its factorization.

256150624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 256150624 is about 16004.7063078333. The cubic root of 256150624 is about 635.0849279840.

The spelling of 256150624 in words is "two hundred fifty-six million, one hundred fifty thousand, six hundred twenty-four".