45860472 has 128 divisors (see below), whose sum is σ = 148800000. Its totient is φ = 13081824.

The previous prime is 45860443. The next prime is 45860473. The reversal of 45860472 is 27406854.

45860472 is a `hidden beast` number, since 4 + 586 + 0 + 4 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45860473) 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, 73779 + ... + 74397.

It is an arithmetic number, because the mean of its divisors is an integer number (1162500).

Almost surely, 2^45860472 is an apocalyptic number.

45860472 is a gapful number since it is divisible by the number (42) 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 45860472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400000).

45860472 is an abundant number, since it is smaller than the sum of its proper divisors (102939528).

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

45860472 is a wasteful number, since it uses less digits than its factorization.

45860472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45860472 is about 6772.0360306189. The cubic root of 45860472 is about 357.9421480959.

The spelling of 45860472 in words is "forty-five million, eight hundred sixty thousand, four hundred seventy-two".