45679248 has 80 divisors (see below), whose sum is σ = 134366400. Its totient is φ = 14849280.

The previous prime is 45679247. The next prime is 45679273. The reversal of 45679248 is 84297654.

It is a happy number.

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 (45679247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16423 + ... + 19001.

It is an arithmetic number, because the mean of its divisors is an integer number (1679580).

Almost surely, 2^45679248 is an apocalyptic number.

45679248 is a gapful number since it is divisible by the number (48) 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 45679248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67183200).

45679248 is an abundant number, since it is smaller than the sum of its proper divisors (88687152).

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

45679248 is a wasteful number, since it uses less digits than its factorization.

45679248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2625 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45679248 is about 6758.6424672415. The cubic root of 45679248 is about 357.4700397081.

The spelling of 45679248 in words is "forty-five million, six hundred seventy-nine thousand, two hundred forty-eight".