45920256 has 104 divisors (see below), whose sum is σ = 126993264. Its totient is φ = 14745600.

The previous prime is 45920249. The next prime is 45920257. The reversal of 45920256 is 65202954.

It is a super-2 number, since 2×45920256² = 4217339822211072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45920257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454606 + ... + 454706.

Almost surely, 2^45920256 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 45920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63496632).

45920256 is an abundant number, since it is smaller than the sum of its proper divisors (81073008).

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

45920256 is a wasteful number, since it uses less digits than its factorization.

45920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 45920256 is about 6776.4486274154. The cubic root of 45920256 is about 358.0976191036.

The spelling of 45920256 in words is "forty-five million, nine hundred twenty thousand, two hundred fifty-six".