338456496 has 80 divisors (see below), whose sum is σ = 1001721600. Its totient is φ = 96463104.

The previous prime is 338456491. The next prime is 338456533. The reversal of 338456496 is 694654833.

338456496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338456496² = 229105599369196032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (338456491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170035 + ... + 172013.

It is an arithmetic number, because the mean of its divisors is an integer number (12521520).

Almost surely, 2^338456496 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 338456496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500860800).

338456496 is an abundant number, since it is smaller than the sum of its proper divisors (663265104).

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

338456496 is a wasteful number, since it uses less digits than its factorization.

338456496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2500 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 338456496 is about 18397.1871763050. The cubic root of 338456496 is about 696.8954322496.

The spelling of 338456496 in words is "three hundred thirty-eight million, four hundred fifty-six thousand, four hundred ninety-six".