45717264 has 80 divisors (see below), whose sum is σ = 132699840. Its totient is φ = 15068160.

The previous prime is 45717263. The next prime is 45717277. The reversal of 45717264 is 46271754.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45717263) 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, 41359 + ... + 42449.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 2^45717264 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 45717264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349920).

45717264 is an abundant number, since it is smaller than the sum of its proper divisors (86982576).

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

45717264 is a wasteful number, since it uses less digits than its factorization.

45717264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1193 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 45717264 is about 6761.4542814398. The cubic root of 45717264 is about 357.5691789120.

The spelling of 45717264 in words is "forty-five million, seven hundred seventeen thousand, two hundred sixty-four".