338390253 has 24 divisors (see below), whose sum is σ = 523793088. Its totient is φ = 209757312.

The previous prime is 338390251. The next prime is 338390281. The reversal of 338390253 is 352093833.

It is not a de Polignac number, because 338390253 - 2¹ = 338390251 is a prime.

It is a super-2 number, since 2×338390253² = 229015926650808018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338390251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625 + ... + 26022.

It is an arithmetic number, because the mean of its divisors is an integer number (21824712).

Almost surely, 2^338390253 is an apocalyptic number.

It is an amenable number.

338390253 is a deficient number, since it is larger than the sum of its proper divisors (185402835).

338390253 is a wasteful number, since it uses less digits than its factorization.

338390253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26753 (or 26750 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 338390253 is about 18395.3867314607. The cubic root of 338390253 is about 696.8499636229.

It can be divided in two parts, 3383 and 90253, that added together give a square (93636 = 306²).

The spelling of 338390253 in words is "three hundred thirty-eight million, three hundred ninety thousand, two hundred fifty-three".