409948 has 30 divisors (see below), whose sum is σ = 901880. Its totient is φ = 159720.

The previous prime is 409943. The next prime is 409951. The reversal of 409948 is 849904.

409948 = T₁₈₇ + T₁₈₈ + ... + T₂₀₇.

409948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409943) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37263 + ... + 37273.

2⁴⁰⁹⁹⁴⁸ 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 409948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450940).

409948 is an abundant number, since it is smaller than the sum of its proper divisors (491932).

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

409948 is an equidigital number, since it uses as much as digits as its factorization.

409948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 409948 is about 640.2718172776. The cubic root of 409948 is about 74.2864475836.

The spelling of 409948 in words is "four hundred nine thousand, nine hundred forty-eight".