45754344 has 96 divisors (see below), whose sum is σ = 135837000. Its totient is φ = 13848576.

The previous prime is 45754343. The next prime is 45754349. The reversal of 45754344 is 44345754.

45754344 is a `hidden beast` number, since 4 + 575 + 43 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45562500 + 191844 = 6750^2 + 438^2 .

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 = 45754299 and 45754308.

It is not an unprimeable number, because it can be changed into a prime (45754343) 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, 34852 + ... + 36140.

Almost surely, 2^45754344 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 45754344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67918500).

45754344 is an abundant number, since it is smaller than the sum of its proper divisors (90082656).

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

45754344 is a wasteful number, since it uses less digits than its factorization.

45754344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1340 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 45754344 is about 6764.1957393322. The cubic root of 45754344 is about 357.6658242566.

The spelling of 45754344 in words is "forty-five million, seven hundred fifty-four thousand, three hundred forty-four".