45405660 has 96 divisors (see below), whose sum is σ = 132455232. Its totient is φ = 11612160.

The previous prime is 45405653. The next prime is 45405667. The reversal of 45405660 is 6650454.

It is an interprime number because it is at equal distance from previous prime (45405653) and next prime (45405667).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45405667) 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, 250770 + ... + 250950.

It is an arithmetic number, because the mean of its divisors is an integer number (1379742).

Almost surely, 2^45405660 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 45405660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66227616).

45405660 is an abundant number, since it is smaller than the sum of its proper divisors (87049572).

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

45405660 is a wasteful number, since it uses less digits than its factorization.

45405660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 45405660 is about 6738.3722069948. The cubic root of 45405660 is about 356.7549417083.

The spelling of 45405660 in words is "forty-five million, four hundred five thousand, six hundred sixty".