45979648 has 96 divisors (see below), whose sum is σ = 108697680. Its totient is φ = 19169280.

The previous prime is 45979631. The next prime is 45979663. The reversal of 45979648 is 84697954.

It is a happy number.

It is a super-2 number, since 2×45979648² = 4228256060407808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 45979595 and 45979604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292786 + ... + 292942.

Almost surely, 2^45979648 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 45979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54348840).

45979648 is an abundant number, since it is smaller than the sum of its proper divisors (62718032).

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

45979648 is a wasteful number, since it uses less digits than its factorization.

45979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 45979648 is about 6780.8294477888. The cubic root of 45979648 is about 358.2519371397.

The spelling of 45979648 in words is "forty-five million, nine hundred seventy-nine thousand, six hundred forty-eight".