45066480 has 80 divisors (see below), whose sum is σ = 147073920. Its totient is φ = 11384064.

The previous prime is 45066479. The next prime is 45066521. The reversal of 45066480 is 8466054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382 + ... + 9501.

It is an arithmetic number, because the mean of its divisors is an integer number (1838424).

Almost surely, 2^45066480 is an apocalyptic number.

45066480 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 45066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73536960).

45066480 is an abundant number, since it is smaller than the sum of its proper divisors (102007440).

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

45066480 is a wasteful number, since it uses less digits than its factorization.

45066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 45066480 is about 6713.1572303947. The cubic root of 45066480 is about 355.8644014993.

The spelling of 45066480 in words is "forty-five million, sixty-six thousand, four hundred eighty".