45129480 has 128 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 10822400.

The previous prime is 45129463. The next prime is 45129523. The reversal of 45129480 is 8492154.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236185 + ... + 236375.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 2^45129480 is an apocalyptic number.

45129480 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 45129480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74649600).

45129480 is an abundant number, since it is smaller than the sum of its proper divisors (104169720).

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

45129480 is a wasteful number, since it uses less digits than its factorization.

45129480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 45129480 is about 6717.8478696678. The cubic root of 45129480 is about 356.0301493634.

The spelling of 45129480 in words is "forty-five million, one hundred twenty-nine thousand, four hundred eighty".