45015264 has 144 divisors (see below), whose sum is σ = 151901568. Its totient is φ = 12845952.

The previous prime is 45015259. The next prime is 45015283. The reversal of 45015264 is 46251054.

45015264 is a `hidden beast` number, since 450 + 152 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54019 + ... + 54845.

It is an arithmetic number, because the mean of its divisors is an integer number (1054872).

Almost surely, 2^45015264 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 45015264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75950784).

45015264 is an abundant number, since it is smaller than the sum of its proper divisors (106886304).

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

45015264 is an equidigital number, since it uses as much as digits as its factorization.

45015264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 839 counting only the distinct ones).

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

The square root of 45015264 is about 6709.3415474248. The cubic root of 45015264 is about 355.7295425097.

The spelling of 45015264 in words is "forty-five million, fifteen thousand, two hundred sixty-four".