45519840 has 192 divisors, whose sum is σ = 163840320. Its totient is φ = 11796480.

The previous prime is 45519827. The next prime is 45519841. The reversal of 45519840 is 4891554.

45519840 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 = 45519795 and 45519804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45519841) 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 31 ways as a sum of consecutive naturals, for example, 176992 + ... + 177248.

It is an arithmetic number, because the mean of its divisors is an integer number (853335).

Almost surely, 2^45519840 is an apocalyptic number.

45519840 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 45519840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81920160).

45519840 is an abundant number, since it is smaller than the sum of its proper divisors (118320480).

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

45519840 is a wasteful number, since it uses less digits than its factorization.

45519840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

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

The square root of 45519840 is about 6746.8392599794. The cubic root of 45519840 is about 357.0537310554.

The spelling of 45519840 in words is "forty-five million, five hundred nineteen thousand, eight hundred forty".