45478240 has 96 divisors (see below), whose sum is σ = 113654016. Its totient is φ = 17172480.

The previous prime is 45478231. The next prime is 45478243. The reversal of 45478240 is 4287454.

It is a happy number.

45478240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45478196 and 45478205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45478243) by changing a digit.

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, 262794 + ... + 262966.

It is an arithmetic number, because the mean of its divisors is an integer number (1183896).

Almost surely, 2^45478240 is an apocalyptic number.

45478240 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 45478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56827008).

45478240 is an abundant number, since it is smaller than the sum of its proper divisors (68175776).

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

45478240 is a wasteful number, since it uses less digits than its factorization.

45478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 45478240 is about 6743.7556302108. The cubic root of 45478240 is about 356.9449289572.

The spelling of 45478240 in words is "forty-five million, four hundred seventy-eight thousand, two hundred forty".