338854464 has 189 divisors, whose sum is σ = 1069852953. Its totient is φ = 102495744.

The previous prime is 338854457. The next prime is 338854471. The reversal of 338854464 is 464458833.

The square root of 338854464 is 18408.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (338854457) and next prime (338854471).

It can be written as a sum of positive squares in only one way, i.e., 50126400 + 288728064 = 7080^2 + 16992^2 .

It is a super-2 number, since 2×338854464² = 229644695545454592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5743267 + ... + 5743325.

Almost surely, 2^338854464 is an apocalyptic number.

338854464 is the 18408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338854464

338854464 is an abundant number, since it is smaller than the sum of its proper divisors (730998489).

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

338854464 is a wasteful number, since it uses less digits than its factorization.

338854464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 77 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The cubic root of 338854464 is about 697.1684692603.

The spelling of 338854464 in words is "three hundred thirty-eight million, eight hundred fifty-four thousand, four hundred sixty-four".