45417760 has 24 divisors (see below), whose sum is σ = 107299836. Its totient is φ = 18167040.

The previous prime is 45417739. The next prime is 45417763. The reversal of 45417760 is 6771454.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39087504 + 6330256 = 6252^2 + 2516^2 .

It is not an unprimeable number, because it can be changed into a prime (45417763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141771 + ... + 142090.

Almost surely, 2^45417760 is an apocalyptic number.

45417760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45417760 is an abundant number, since it is smaller than the sum of its proper divisors (61882076).

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

45417760 is a wasteful number, since it uses less digits than its factorization.

45417760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283876 (or 283868 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 45417760 is about 6739.2699901399. The cubic root of 45417760 is about 356.7866290310.

The spelling of 45417760 in words is "forty-five million, four hundred seventeen thousand, seven hundred sixty".