45870120 has 96 divisors (see below), whose sum is σ = 152305920. Its totient is φ = 11967360.

The previous prime is 45870113. The next prime is 45870133. The reversal of 45870120 is 2107854.

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, 15565 + ... + 18275.

It is an arithmetic number, because the mean of its divisors is an integer number (1586520).

Almost surely, 2^45870120 is an apocalyptic number.

45870120 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 45870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76152960).

45870120 is an abundant number, since it is smaller than the sum of its proper divisors (106435800).

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

45870120 is a wasteful number, since it uses less digits than its factorization.

45870120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 45870120 is about 6772.7483343175. The cubic root of 45870120 is about 357.9672472975.

Adding to 45870120 its reverse (2107854), we get a palindrome (47977974).

The spelling of 45870120 in words is "forty-five million, eight hundred seventy thousand, one hundred twenty".