45900080 has 40 divisors (see below), whose sum is σ = 108234144. Its totient is φ = 18099200.

The previous prime is 45900077. The next prime is 45900089. The reversal of 45900080 is 8000954.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45900089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1640 + ... + 9720.

Almost surely, 2^45900080 is an apocalyptic number.

45900080 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 45900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54117072).

45900080 is an abundant number, since it is smaller than the sum of its proper divisors (62334064).

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

45900080 is a wasteful number, since it uses less digits than its factorization.

45900080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 45900080 is about 6774.9597784784. The cubic root of 45900080 is about 358.0451655926.

The spelling of 45900080 in words is "forty-five million, nine hundred thousand, eighty".