45216252 has 96 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 14198976.

The previous prime is 45216251. The next prime is 45216253. The reversal of 45216252 is 25261254.

45216252 is a `hidden beast` number, since 452 + 162 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (45216251) and next prime (45216253).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45216251) 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, 270673 + ... + 270839.

It is an arithmetic number, because the mean of its divisors is an integer number (1293600).

Almost surely, 2^45216252 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 45216252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

45216252 is an abundant number, since it is smaller than the sum of its proper divisors (78969348).

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

45216252 is a wasteful number, since it uses less digits than its factorization.

45216252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 45216252 is about 6724.3030865659. The cubic root of 45216252 is about 356.2581870695.

The spelling of 45216252 in words is "forty-five million, two hundred sixteen thousand, two hundred fifty-two".