45768240 has 200 divisors, whose sum is σ = 181848480. Its totient is φ = 10450944.

The previous prime is 45768227. The next prime is 45768257. The reversal of 45768240 is 4286754.

45768240 is a `hidden beast` number, since 4 + 576 + 82 + 4 + 0 = 666.

45768240 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 = 45768195 and 45768204.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 44856 + ... + 45864.

Almost surely, 2^45768240 is an apocalyptic number.

45768240 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 45768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90924240).

45768240 is an abundant number, since it is smaller than the sum of its proper divisors (136080240).

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

45768240 is a wasteful number, since it uses less digits than its factorization.

45768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45768240 is about 6765.2228344675. Note that the first 3 decimals coincide. The cubic root of 45768240 is about 357.7020293524.

The spelling of 45768240 in words is "forty-five million, seven hundred sixty-eight thousand, two hundred forty".