46256640 has 160 divisors (see below), whose sum is σ = 156150720. Its totient is φ = 11649024.

The previous prime is 46256627. The next prime is 46256641. The reversal of 46256640 is 4665264.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (46256641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145762 + ... + 146078.

It is an arithmetic number, because the mean of its divisors is an integer number (975942).

Almost surely, 2^46256640 is an apocalyptic number.

46256640 is a gapful number since it is divisible by the number (40) 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 46256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78075360).

46256640 is an abundant number, since it is smaller than the sum of its proper divisors (109894080).

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

46256640 is a wasteful number, since it uses less digits than its factorization.

46256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 46256640 is about 6801.2234193563. The cubic root of 46256640 is about 358.9698947709.

It can be divided in two parts, 46 and 256640, that added together give a triangular number (256686 = T₇₁₆).

The spelling of 46256640 in words is "forty-six million, two hundred fifty-six thousand, six hundred forty".