45461844 has 48 divisors (see below), whose sum is σ = 118238400. Its totient is φ = 15105888.

The previous prime is 45461833. The next prime is 45461861. The reversal of 45461844 is 44816454.

It is a happy number.

45461844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 45461799 and 45461808.

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 15 ways as a sum of consecutive naturals, for example, 54559 + ... + 55385.

It is an arithmetic number, because the mean of its divisors is an integer number (2463300).

Almost surely, 2^45461844 is an apocalyptic number.

It is an amenable number.

45461844 is an abundant number, since it is smaller than the sum of its proper divisors (72776556).

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

45461844 is a wasteful number, since it uses less digits than its factorization.

45461844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45461844 is about 6742.5398775239. The cubic root of 45461844 is about 356.9020280555.

The spelling of 45461844 in words is "forty-five million, four hundred sixty-one thousand, eight hundred forty-four".