45364704 has 288 divisors, whose sum is σ = 165908736. Its totient is φ = 10506240.

The previous prime is 45364703. The next prime is 45364727. The reversal of 45364704 is 40746354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45364703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2387607 + ... + 2387625.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 2^45364704 is an apocalyptic number.

45364704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82954368).

45364704 is an abundant number, since it is smaller than the sum of its proper divisors (120544032).

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

45364704 is a wasteful number, since it uses less digits than its factorization.

45364704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 45364704 is about 6735.3325084958. The cubic root of 45364704 is about 356.6476448741.

The spelling of 45364704 in words is "forty-five million, three hundred sixty-four thousand, seven hundred four".