405948 has 12 divisors (see below), whose sum is σ = 947240. Its totient is φ = 135312.

The previous prime is 405947. The next prime is 405949. The reversal of 405948 is 849504.

It is an interprime number because it is at equal distance from previous prime (405947) and next prime (405949).

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405948.

It is not an unprimeable number, because it can be changed into a prime (405947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16903 + ... + 16926.

2⁴⁰⁵⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

405948 is an abundant number, since it is smaller than the sum of its proper divisors (541292).

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

405948 is a wasteful number, since it uses less digits than its factorization.

405948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33836 (or 33834 counting only the distinct ones).

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

The square root of 405948 is about 637.1404868630. The cubic root of 405948 is about 74.0440448774.

Subtracting 405948 from its reverse (849504), we obtain a square (443556 = 666²).

The spelling of 405948 in words is "four hundred five thousand, nine hundred forty-eight".