45860480 has 64 divisors (see below), whose sum is σ = 110674080. Its totient is φ = 18170880.

The previous prime is 45860473. The next prime is 45860483. The reversal of 45860480 is 8406854.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45860480.

It is not an unprimeable number, because it can be changed into a prime (45860483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83567 + ... + 84113.

Almost surely, 2^45860480 is an apocalyptic number.

45860480 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 45860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55337040).

45860480 is an abundant number, since it is smaller than the sum of its proper divisors (64813600).

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

45860480 is a wasteful number, since it uses less digits than its factorization.

45860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 45860480 is about 6772.0366212831. The cubic root of 45860480 is about 357.9421689093.

The spelling of 45860480 in words is "forty-five million, eight hundred sixty thousand, four hundred eighty".