45750264 has 128 divisors (see below), whose sum is σ = 140797440. Its totient is φ = 12091392.

The previous prime is 45750259. The next prime is 45750269. The reversal of 45750264 is 46205754.

It is an interprime number because it is at equal distance from previous prime (45750259) and next prime (45750269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45750269) 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, 236952 + ... + 237144.

It is an arithmetic number, because the mean of its divisors is an integer number (1099980).

Almost surely, 2^45750264 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 45750264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398720).

45750264 is an abundant number, since it is smaller than the sum of its proper divisors (95047176).

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

45750264 is a wasteful number, since it uses less digits than its factorization.

45750264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 45750264 is about 6763.8941446477. The cubic root of 45750264 is about 357.6551926982.

It can be divided in two parts, 457 and 50264, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 45750264 in words is "forty-five million, seven hundred fifty thousand, two hundred sixty-four".