45846120 has 64 divisors (see below), whose sum is σ = 139501440. Its totient is φ = 12051200.

The previous prime is 45846109. The next prime is 45846121. The reversal of 45846120 is 2164854.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45846121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5830 + ... + 11210.

It is an arithmetic number, because the mean of its divisors is an integer number (2179710).

Almost surely, 2^45846120 is an apocalyptic number.

45846120 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 45846120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69750720).

45846120 is an abundant number, since it is smaller than the sum of its proper divisors (93655320).

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

45846120 is a wasteful number, since it uses less digits than its factorization.

45846120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45846120 is about 6770.9762959266. The cubic root of 45846120 is about 357.9048049587.

The spelling of 45846120 in words is "forty-five million, eight hundred forty-six thousand, one hundred twenty".