45064000 has 112 divisors (see below), whose sum is σ = 115068096. Its totient is φ = 17472000.

The previous prime is 45063989. The next prime is 45064003. The reversal of 45064000 is 46054.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45064003) 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, 343935 + ... + 344065.

Almost surely, 2^45064000 is an apocalyptic number.

45064000 is a gapful number since it is divisible by the number (40) 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 45064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57534048).

45064000 is an abundant number, since it is smaller than the sum of its proper divisors (70004096).

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

45064000 is a wasteful number, since it uses less digits than its factorization.

45064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 45064000 is about 6712.9725159574. The cubic root of 45064000 is about 355.8578736623.

The spelling of 45064000 in words is "forty-five million, sixty-four thousand".