45510480 has 120 divisors (see below), whose sum is σ = 157847040. Its totient is φ = 11738880.

The previous prime is 45510473. The next prime is 45510527. The reversal of 45510480 is 8401554.

It is a tau number, because it is divible by the number of its divisors (120).

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, 21301 + ... + 23339.

It is an arithmetic number, because the mean of its divisors is an integer number (1315392).

Almost surely, 2^45510480 is an apocalyptic number.

45510480 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 45510480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

45510480 is an abundant number, since it is smaller than the sum of its proper divisors (112336560).

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

45510480 is a wasteful number, since it uses less digits than its factorization.

45510480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45510480 is about 6746.1455661733. The cubic root of 45510480 is about 357.0292563647.

The spelling of 45510480 in words is "forty-five million, five hundred ten thousand, four hundred eighty".