45519760 has 160 divisors (see below), whose sum is σ = 130491648. Its totient is φ = 14530560.

The previous prime is 45519751. The next prime is 45519769. The reversal of 45519760 is 6791554.

It is an interprime number because it is at equal distance from previous prime (45519751) and next prime (45519769).

It is not an unprimeable number, because it can be changed into a prime (45519769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263034 + ... + 263206.

Almost surely, 2^45519760 is an apocalyptic number.

45519760 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 45519760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65245824).

45519760 is an abundant number, since it is smaller than the sum of its proper divisors (84971888).

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

45519760 is a wasteful number, since it uses less digits than its factorization.

45519760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 45519760 is about 6746.8333312748. The cubic root of 45519760 is about 357.0535218842.

The spelling of 45519760 in words is "forty-five million, five hundred nineteen thousand, seven hundred sixty".