256650240 has 528 divisors, whose sum is σ = 1075313664. Its totient is φ = 51609600.

The previous prime is 256650211. The next prime is 256650257. The reversal of 256650240 is 42056652.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 256650198 and 256650207.

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, 8279025 + ... + 8279055.

Almost surely, 2^256650240 is an apocalyptic number.

256650240 is a gapful number since it is divisible by the number (20) 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 256650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537656832).

256650240 is an abundant number, since it is smaller than the sum of its proper divisors (818663424).

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

256650240 is a wasteful number, since it uses less digits than its factorization.

256650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 256650240 is about 16020.3071131611. The cubic root of 256650240 is about 635.4975660836.

Subtracting from 256650240 its product of nonzero digits (14400), we obtain a triangular number (256635840 = T₂₂₆₅₅).

The spelling of 256650240 in words is "two hundred fifty-six million, six hundred fifty thousand, two hundred forty".