45649296 has 240 divisors, whose sum is σ = 167132160. Its totient is φ = 11278080.

The previous prime is 45649259. The next prime is 45649297. The reversal of 45649296 is 69294654.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45649297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254935 + ... + 255113.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^45649296 is an apocalyptic number.

45649296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45649296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

45649296 is an abundant number, since it is smaller than the sum of its proper divisors (121482864).

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

45649296 is a wasteful number, since it uses less digits than its factorization.

45649296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 45649296 is about 6756.4262742962. The cubic root of 45649296 is about 357.3918912845.

The spelling of 45649296 in words is "forty-five million, six hundred forty-nine thousand, two hundred ninety-six".