45849120 has 96 divisors (see below), whose sum is σ = 150740352. Its totient is φ = 11692032.

The previous prime is 45849103. The next prime is 45849121. The reversal of 45849120 is 2194854.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45849121) 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, 8964 + ... + 13116.

It is an arithmetic number, because the mean of its divisors is an integer number (1570212).

Almost surely, 2^45849120 is an apocalyptic number.

45849120 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 45849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75370176).

45849120 is an abundant number, since it is smaller than the sum of its proper divisors (104891232).

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

45849120 is a wasteful number, since it uses less digits than its factorization.

45849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 45849120 is about 6771.1978260866. The cubic root of 45849120 is about 357.9126114426.

The spelling of 45849120 in words is "forty-five million, eight hundred forty-nine thousand, one hundred twenty".