45533840 has 80 divisors (see below), whose sum is σ = 117581760. Its totient is φ = 16258560.

The previous prime is 45533833. The next prime is 45533843. The reversal of 45533840 is 4833554.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 45533797 and 45533806.

It is not an unprimeable number, because it can be changed into a prime (45533843) 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, 51482 + ... + 52358.

It is an arithmetic number, because the mean of its divisors is an integer number (1469772).

Almost surely, 2^45533840 is an apocalyptic number.

45533840 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 45533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58790880).

45533840 is an abundant number, since it is smaller than the sum of its proper divisors (72047920).

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

45533840 is a wasteful number, since it uses less digits than its factorization.

45533840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 45533840 is about 6747.8767030822. The cubic root of 45533840 is about 357.0903322375.

The spelling of 45533840 in words is "forty-five million, five hundred thirty-three thousand, eight hundred forty".