45919440 has 160 divisors (see below), whose sum is σ = 180821760. Its totient is φ = 10492416.

The previous prime is 45919439. The next prime is 45919453. The reversal of 45919440 is 4491954.

It is a happy number.

45919440 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 = 45919395 and 45919404.

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 31 ways as a sum of consecutive naturals, for example, 13602 + ... + 16638.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 2^45919440 is an apocalyptic number.

45919440 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 45919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90410880).

45919440 is an abundant number, since it is smaller than the sum of its proper divisors (134902320).

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

45919440 is a wasteful number, since it uses less digits than its factorization.

45919440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45919440 is about 6776.3884186195. The cubic root of 45919440 is about 358.0954979672.

The spelling of 45919440 in words is "forty-five million, nine hundred nineteen thousand, four hundred forty".