45917820 has 192 divisors, whose sum is σ = 159559680. Its totient is φ = 10886400.

The previous prime is 45917797. The next prime is 45917849. The reversal of 45917820 is 2871954.

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 63 ways as a sum of consecutive naturals, for example, 217515 + ... + 217725.

It is an arithmetic number, because the mean of its divisors is an integer number (831040).

Almost surely, 2^45917820 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 45917820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79779840).

45917820 is an abundant number, since it is smaller than the sum of its proper divisors (113641860).

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

45917820 is a wasteful number, since it uses less digits than its factorization.

45917820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45917820 is about 6776.2688848658. The cubic root of 45917820 is about 358.0912868130.

The spelling of 45917820 in words is "forty-five million, nine hundred seventeen thousand, eight hundred twenty".