45915840 has 168 divisors, whose sum is σ = 160477200. Its totient is φ = 12048384.

The previous prime is 45915839. The next prime is 45915847. The reversal of 45915840 is 4851954.

45915840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 45915795 and 45915804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45915847) 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 23 ways as a sum of consecutive naturals, for example, 308086 + ... + 308234.

Almost surely, 2^45915840 is an apocalyptic number.

45915840 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 45915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80238600).

45915840 is an abundant number, since it is smaller than the sum of its proper divisors (114561360).

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

45915840 is a wasteful number, since it uses less digits than its factorization.

45915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45915840 is about 6776.1227851921. The cubic root of 45915840 is about 358.0861397122.

The spelling of 45915840 in words is "forty-five million, nine hundred fifteen thousand, eight hundred forty".