338890464 has 144 divisors (see below), whose sum is σ = 1097276544. Its totient is φ = 98208000.

The previous prime is 338890429. The next prime is 338890471. The reversal of 338890464 is 464098833.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338890464² = 229693493180270592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70539 + ... + 75189.

It is an arithmetic number, because the mean of its divisors is an integer number (7619976).

Almost surely, 2^338890464 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 338890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548638272).

338890464 is an abundant number, since it is smaller than the sum of its proper divisors (758386080).

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

338890464 is a wasteful number, since it uses less digits than its factorization.

338890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 338890464 is about 18408.9778097536. The cubic root of 338890464 is about 697.1931575152.

The spelling of 338890464 in words is "three hundred thirty-eight million, eight hundred ninety thousand, four hundred sixty-four".