45360240 has 80 divisors (see below), whose sum is σ = 141288576. Its totient is φ = 12038400.

The previous prime is 45360193. The next prime is 45360257. The reversal of 45360240 is 4206354.

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

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 45360240.

It is a congruent number.

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, 79155 + ... + 79725.

Almost surely, 2^45360240 is an apocalyptic number.

45360240 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 45360240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70644288).

45360240 is an abundant number, since it is smaller than the sum of its proper divisors (95928336).

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

45360240 is a wasteful number, since it uses less digits than its factorization.

45360240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

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

The square root of 45360240 is about 6735.0011135857. The cubic root of 45360240 is about 356.6359461511.

Adding to 45360240 its reverse (4206354), we get a palindrome (49566594).

The spelling of 45360240 in words is "forty-five million, three hundred sixty thousand, two hundred forty".