45948 has 24 divisors (see below), whose sum is σ = 122752. Its totient is φ = 13104.

The previous prime is 45943. The next prime is 45949. The reversal of 45948 is 84954.

It is a super-2 number, since 2×45948² = 4222437408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45943) by changing a digit.

45948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 357.

2⁴⁵⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

45948 is an abundant number, since it is smaller than the sum of its proper divisors (76804).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61376).

45948 is a wasteful number, since it uses less digits than its factorization.

45948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 45948 is about 214.3548459914. The cubic root of 45948 is about 35.8169722797.

The spelling of 45948 in words is "forty-five thousand, nine hundred forty-eight".