45546240 has 144 divisors (see below), whose sum is σ = 150847200. Its totient is φ = 11698176.

The previous prime is 45546227. The next prime is 45546257. The reversal of 45546240 is 4264554.

45546240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45546198 and 45546207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111156 + ... + 111564.

It is an arithmetic number, because the mean of its divisors is an integer number (1047550).

Almost surely, 2^45546240 is an apocalyptic number.

45546240 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 45546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423600).

45546240 is an abundant number, since it is smaller than the sum of its proper divisors (105300960).

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

45546240 is a wasteful number, since it uses less digits than its factorization.

45546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45546240 is about 6748.7954480781. The cubic root of 45546240 is about 357.1227441626.

The spelling of 45546240 in words is "forty-five million, five hundred forty-six thousand, two hundred forty".