45978948 has 96 divisors (see below), whose sum is σ = 128217600. Its totient is φ = 14197248.

The previous prime is 45978943. The next prime is 45978973. The reversal of 45978948 is 84987954.

45978948 is a `hidden beast` number, since 4 + 597 + 8 + 9 + 48 = 666.

45978948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45978948² = 4228127318373408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45978894 and 45978903.

It is not an unprimeable number, because it can be changed into a prime (45978943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144886 + ... + 145202.

It is an arithmetic number, because the mean of its divisors is an integer number (1335600).

Almost surely, 2^45978948 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 45978948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64108800).

45978948 is an abundant number, since it is smaller than the sum of its proper divisors (82238652).

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

45978948 is a wasteful number, since it uses less digits than its factorization.

45978948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 45978948 is about 6780.7778314881. Note that the first 3 decimals coincide. The cubic root of 45978948 is about 358.2501191062.

The spelling of 45978948 in words is "forty-five million, nine hundred seventy-eight thousand, nine hundred forty-eight".