45488160 has 144 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 11727360.

The previous prime is 45488137. The next prime is 45488173. The reversal of 45488160 is 6188454.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44131 + ... + 45149.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^45488160 is an apocalyptic number.

45488160 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 45488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

45488160 is an abundant number, since it is smaller than the sum of its proper divisors (114904800).

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

45488160 is a wasteful number, since it uses less digits than its factorization.

45488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45488160 is about 6744.4910853229. The cubic root of 45488160 is about 356.9708800954.

The spelling of 45488160 in words is "forty-five million, four hundred eighty-eight thousand, one hundred sixty".