45999744 has 128 divisors (see below), whose sum is σ = 141820800. Its totient is φ = 12939264.

The previous prime is 45999719. The next prime is 45999749. The reversal of 45999744 is 44799954.

It is a happy number.

45999744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (45999749) 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 15 ways as a sum of consecutive naturals, for example, 292914 + ... + 293070.

It is an arithmetic number, because the mean of its divisors is an integer number (1107975).

Almost surely, 2^45999744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45999744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70910400).

45999744 is an abundant number, since it is smaller than the sum of its proper divisors (95821056).

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

45999744 is a wasteful number, since it uses less digits than its factorization.

45999744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 45999744 is about 6782.3111105286. The cubic root of 45999744 is about 358.3041224190.

The spelling of 45999744 in words is "forty-five million, nine hundred ninety-nine thousand, seven hundred forty-four".