45000480 has 192 divisors, whose sum is σ = 165473280. Its totient is φ = 10066944.

The previous prime is 45000469. The next prime is 45000509. The reversal of 45000480 is 8400054.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198127 + ... + 198353.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^45000480 is an apocalyptic number.

45000480 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 45000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

45000480 is an abundant number, since it is smaller than the sum of its proper divisors (120472800).

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

45000480 is a wasteful number, since it uses less digits than its factorization.

45000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45000480 is about 6708.2397094916. The cubic root of 45000480 is about 355.6905951177.

The spelling of 45000480 in words is "forty-five million, four hundred eighty", and thus it is an aban number.