45979248 has 120 divisors (see below), whose sum is σ = 140200848. Its totient is φ = 12945408.

The previous prime is 45979247. The next prime is 45979267. The reversal of 45979248 is 84297954.

It is a super-2 number, since 2×45979248² = 4228182493291008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45979197 and 45979206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45979243) 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, 265690 + ... + 265862.

Almost surely, 2^45979248 is an apocalyptic number.

45979248 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 45979248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70100424).

45979248 is an abundant number, since it is smaller than the sum of its proper divisors (94221600).

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

45979248 is a wasteful number, since it uses less digits than its factorization.

45979248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 45979248 is about 6780.7999528079. The cubic root of 45979248 is about 358.2508982657.

The spelling of 45979248 in words is "forty-five million, nine hundred seventy-nine thousand, two hundred forty-eight".