45877860 has 192 divisors, whose sum is σ = 166924800. Its totient is φ = 10243584.

The previous prime is 45877829. The next prime is 45877873. The reversal of 45877860 is 6877854.

45877860 is a `hidden beast` number, since 4 + 587 + 7 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200226 + ... + 200454.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^45877860 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 45877860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

45877860 is an abundant number, since it is smaller than the sum of its proper divisors (121046940).

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

45877860 is a wasteful number, since it uses less digits than its factorization.

45877860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 45877860 is about 6773.3197178341. The cubic root of 45877860 is about 357.9873803069.

The spelling of 45877860 in words is "forty-five million, eight hundred seventy-seven thousand, eight hundred sixty".