45416080 has 40 divisors (see below), whose sum is σ = 111153600. Its totient is φ = 17209728.

The previous prime is 45416051. The next prime is 45416087. The reversal of 45416080 is 8061454.

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

It is not an unprimeable number, because it can be changed into a prime (45416087) 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, 13420 + ... + 16459.

It is an arithmetic number, because the mean of its divisors is an integer number (2778840).

Almost surely, 2^45416080 is an apocalyptic number.

45416080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45416080 is an abundant number, since it is smaller than the sum of its proper divisors (65737520).

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

45416080 is a wasteful number, since it uses less digits than its factorization.

45416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29911 (or 29905 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 45416080 is about 6739.1453464071. The cubic root of 45416080 is about 356.7822298053.

The spelling of 45416080 in words is "forty-five million, four hundred sixteen thousand, eighty".