256040352 has 144 divisors (see below), whose sum is σ = 795281760. Its totient is φ = 80808192.

The previous prime is 256040341. The next prime is 256040401. The reversal of 256040352 is 253040652.

256040352 is a `hidden beast` number, since 2 + 5 + 604 + 0 + 3 + 52 = 666.

256040352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146878 + ... + 148610.

It is an arithmetic number, because the mean of its divisors is an integer number (5522790).

Almost surely, 2^256040352 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 256040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397640880).

256040352 is an abundant number, since it is smaller than the sum of its proper divisors (539241408).

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

256040352 is a wasteful number, since it uses less digits than its factorization.

256040352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256040352 is about 16001.2609503126. The cubic root of 256040352 is about 634.9937809133.

The spelling of 256040352 in words is "two hundred fifty-six million, forty thousand, three hundred fifty-two".