45831744 has 168 divisors, whose sum is σ = 156065728. Its totient is φ = 13063680.

The previous prime is 45831739. The next prime is 45831749. The reversal of 45831744 is 44713854.

45831744 is a `hidden beast` number, since 4 + 583 + 1 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45831739) and next prime (45831749).

It is a tau number, because it is divible by the number of its divisors (168).

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 = 45831699 and 45831708.

It is not an unprimeable number, because it can be changed into a prime (45831749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108654 + ... + 109074.

Almost surely, 2^45831744 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 45831744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78032864).

45831744 is an abundant number, since it is smaller than the sum of its proper divisors (110233984).

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

45831744 is an equidigital number, since it uses as much as digits as its factorization.

45831744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

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

The square root of 45831744 is about 6769.9146227999. The cubic root of 45831744 is about 357.8673915609.

The spelling of 45831744 in words is "forty-five million, eight hundred thirty-one thousand, seven hundred forty-four".