338405373 has 24 divisors (see below), whose sum is σ = 494091000. Its totient is φ = 223179264.

The previous prime is 338405317. The next prime is 338405377. The reversal of 338405373 is 373504833.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4173849 + 334231524 = 2043^2 + 18282^2 .

It is not a de Polignac number, because 338405373 - 2⁸ = 338405117 is a prime.

It is a super-2 number, since 2×338405373² = 229036392950538258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338405377) 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, 548161 + ... + 548777.

It is an arithmetic number, because the mean of its divisors is an integer number (20587125).

Almost surely, 2^338405373 is an apocalyptic number.

It is an amenable number.

338405373 is a deficient number, since it is larger than the sum of its proper divisors (155685627).

338405373 is a wasteful number, since it uses less digits than its factorization.

338405373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 338405373 is about 18395.7976994747. The cubic root of 338405373 is about 696.8603423838.

The spelling of 338405373 in words is "three hundred thirty-eight million, four hundred five thousand, three hundred seventy-three".