45480624 has 120 divisors (see below), whose sum is σ = 139352688. Its totient is φ = 12741120.

The previous prime is 45480619. The next prime is 45480629. The reversal of 45480624 is 42608454.

It is an interprime number because it is at equal distance from previous prime (45480619) and next prime (45480629).

It is not an unprimeable number, because it can be changed into a prime (45480629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143314 + ... + 143630.

Almost surely, 2^45480624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45480624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69676344).

45480624 is an abundant number, since it is smaller than the sum of its proper divisors (93872064).

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

45480624 is a wasteful number, since it uses less digits than its factorization.

45480624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 45480624 is about 6743.9323840027. The cubic root of 45480624 is about 356.9511659462.

The spelling of 45480624 in words is "forty-five million, four hundred eighty thousand, six hundred twenty-four".