45361296 has 70 divisors (see below), whose sum is σ = 131804870. Its totient is φ = 15116544.

The previous prime is 45361289. The next prime is 45361319. The reversal of 45361296 is 69216354.

It is a happy number.

45361296 is a `hidden beast` number, since 4 + 5 + 361 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 3370896 = 6480^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45361296.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9720 + ... + 13608.

Almost surely, 2^45361296 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 45361296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65902435).

45361296 is an abundant number, since it is smaller than the sum of its proper divisors (86443574).

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

45361296 is an equidigital number, since it uses as much as digits as its factorization.

45361296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3894 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 45361296 is about 6735.0795095529. The cubic root of 45361296 is about 356.6387136603.

It can be divided in two parts, 4536 and 1296, that added together give a cube (5832 = 18³).

The spelling of 45361296 in words is "forty-five million, three hundred sixty-one thousand, two hundred ninety-six".