45855264 has 192 divisors, whose sum is σ = 154103040. Its totient is φ = 11612160.

The previous prime is 45855263. The next prime is 45855281. The reversal of 45855264 is 46255854.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45855263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253254 + ... + 253434.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^45855264 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 45855264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

45855264 is an abundant number, since it is smaller than the sum of its proper divisors (108247776).

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

45855264 is a wasteful number, since it uses less digits than its factorization.

45855264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 45855264 is about 6771.6514972346. The cubic root of 45855264 is about 357.9285980589.

The spelling of 45855264 in words is "forty-five million, eight hundred fifty-five thousand, two hundred sixty-four".