338664480 has 576 divisors, whose sum is σ = 1447891200. Its totient is φ = 66232320.

The previous prime is 338664451. The next prime is 338664481. The reversal of 338664480 is 84466833.

It is a super-2 number, since 2×338664480² = 229387260027340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338664481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19921432 + ... + 19921448.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^338664480 is an apocalyptic number.

338664480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

338664480 is an abundant number, since it is smaller than the sum of its proper divisors (1109226720).

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

338664480 is a wasteful number, since it uses less digits than its factorization.

338664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 338664480 is about 18402.8389114289. The cubic root of 338664480 is about 697.0381521382.

The spelling of 338664480 in words is "three hundred thirty-eight million, six hundred sixty-four thousand, four hundred eighty".