45030480 has 160 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 10598400.

The previous prime is 45030463. The next prime is 45030487. The reversal of 45030480 is 8403054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45030480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45030487) 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, 97450 + ... + 97910.

Almost surely, 2^45030480 is an apocalyptic number.

45030480 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 45030480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

45030480 is an abundant number, since it is smaller than the sum of its proper divisors (111709488).

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

45030480 is a wasteful number, since it uses less digits than its factorization.

45030480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45030480 is about 6710.4753929956. The cubic root of 45030480 is about 355.7696190710.

The spelling of 45030480 in words is "forty-five million, thirty thousand, four hundred eighty".