45846360 has 288 divisors, whose sum is σ = 182463840. Its totient is φ = 9934848.

The previous prime is 45846349. The next prime is 45846379. The reversal of 45846360 is 6364854.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405664 + ... + 405776.

It is an arithmetic number, because the mean of its divisors is an integer number (633555).

Almost surely, 2^45846360 is an apocalyptic number.

45846360 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 45846360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91231920).

45846360 is an abundant number, since it is smaller than the sum of its proper divisors (136617480).

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

45846360 is a wasteful number, since it uses less digits than its factorization.

45846360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45846360 is about 6770.9940186061. The cubic root of 45846360 is about 357.9054294899.

The spelling of 45846360 in words is "forty-five million, eight hundred forty-six thousand, three hundred sixty".