413493948 has 216 divisors, whose sum is σ = 1288450800. Its totient is φ = 111315456.

The previous prime is 413493901. The next prime is 413493967. The reversal of 413493948 is 849394314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3018136 + ... + 3018272.

It is an arithmetic number, because the mean of its divisors is an integer number (5965050).

Almost surely, 2^413493948 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 413493948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644225400).

413493948 is an abundant number, since it is smaller than the sum of its proper divisors (874956852).

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

413493948 is a wasteful number, since it uses less digits than its factorization.

413493948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 413493948 is about 20334.5505974438. The cubic root of 413493948 is about 745.0001939852. Note that the first 3 decimals are identical.

The spelling of 413493948 in words is "four hundred thirteen million, four hundred ninety-three thousand, nine hundred forty-eight".