45133440 has 128 divisors (see below), whose sum is σ = 157014720. Its totient is φ = 10936320.

The previous prime is 45133433. The next prime is 45133457. The reversal of 45133440 is 4433154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45133440.

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, 20052 + ... + 22188.

Almost surely, 2^45133440 is an apocalyptic number.

45133440 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 45133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78507360).

45133440 is an abundant number, since it is smaller than the sum of its proper divisors (111881280).

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

45133440 is a wasteful number, since it uses less digits than its factorization.

45133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45133440 is about 6718.1426004514. The cubic root of 45133440 is about 356.0405626466.

Adding to 45133440 its reverse (4433154), we get a palindrome (49566594).

The spelling of 45133440 in words is "forty-five million, one hundred thirty-three thousand, four hundred forty".