45119680 has 112 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 16588800.

The previous prime is 45119677. The next prime is 45119681. The reversal of 45119680 is 8691154.

It is not an unprimeable number, because it can be changed into a prime (45119681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249190 + ... + 249370.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 2^45119680 is an apocalyptic number.

45119680 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 45119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

45119680 is an abundant number, since it is smaller than the sum of its proper divisors (71374880).

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

45119680 is a wasteful number, since it uses less digits than its factorization.

45119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 45119680 is about 6717.1184298031. The cubic root of 45119680 is about 356.0043764980.

The spelling of 45119680 in words is "forty-five million, one hundred nineteen thousand, six hundred eighty".