338413248 has 224 divisors, whose sum is σ = 1050137600. Its totient is φ = 106748928.

The previous prime is 338413241. The next prime is 338413253. The reversal of 338413248 is 842314833.

It is a happy number.

It is a super-2 number, since 2×338413248² = 229047052843819008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 338413248 = 108³ + 696³ = 264³ + 684³.

It is not an unprimeable number, because it can be changed into a prime (338413241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4283673 + ... + 4283751.

Almost surely, 2^338413248 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 338413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525068800).

338413248 is an abundant number, since it is smaller than the sum of its proper divisors (711724352).

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

338413248 is a wasteful number, since it uses less digits than its factorization.

338413248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 338413248 is about 18396.0117416792. The cubic root of 338413248 is about 696.8657478659.

The spelling of 338413248 in words is "three hundred thirty-eight million, four hundred thirteen thousand, two hundred forty-eight".