45846048 has 48 divisors (see below), whose sum is σ = 120718080. Its totient is φ = 15234816.

The previous prime is 45846001. The next prime is 45846079. The reversal of 45846048 is 84064854.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 45845997 and 45846015.

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, 45486 + ... + 46482.

It is an arithmetic number, because the mean of its divisors is an integer number (2514960).

Almost surely, 2^45846048 is an apocalyptic number.

45846048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45846048 is an abundant number, since it is smaller than the sum of its proper divisors (74872032).

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

45846048 is a wasteful number, since it uses less digits than its factorization.

45846048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 45846048 is about 6770.9709791137. The cubic root of 45846048 is about 357.9046175989.

The spelling of 45846048 in words is "forty-five million, eight hundred forty-six thousand, forty-eight".