45048744 has 128 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 13582080.

The previous prime is 45048739. The next prime is 45048749. The reversal of 45048744 is 44784054.

It is an interprime number because it is at equal distance from previous prime (45048739) and next prime (45048749).

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 = 45048699 and 45048708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45048749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171157 + ... + 171419.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^45048744 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 45048744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

45048744 is an abundant number, since it is smaller than the sum of its proper divisors (92442456).

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

45048744 is a wasteful number, since it uses less digits than its factorization.

45048744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 45048744 is about 6711.8361124211. The cubic root of 45048744 is about 355.8177116669.

It can be divided in two parts, 450 and 48744, that added together give a palindrome (49194).

The spelling of 45048744 in words is "forty-five million, forty-eight thousand, seven hundred forty-four".