45549120 has 112 divisors (see below), whose sum is σ = 153180288. Its totient is φ = 11427840.

The previous prime is 45549113. The next prime is 45549143. The reversal of 45549120 is 2194554.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14925 + ... + 17715.

Almost surely, 2^45549120 is an apocalyptic number.

45549120 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 45549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76590144).

45549120 is an abundant number, since it is smaller than the sum of its proper divisors (107631168).

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

45549120 is a wasteful number, since it uses less digits than its factorization.

45549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 45549120 is about 6749.0088161151. The cubic root of 45549120 is about 357.1302712517.

The spelling of 45549120 in words is "forty-five million, five hundred forty-nine thousand, one hundred twenty".