338254560 has 288 divisors, whose sum is σ = 1377492480. Its totient is φ = 73903104.

The previous prime is 338254541. The next prime is 338254597. The reversal of 338254560 is 65452833.

It is a happy number.

338254560 is a `hidden beast` number, since 33 + 82 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338254560² = 228832294721587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231111 + ... + 232569.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^338254560 is an apocalyptic number.

338254560 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 338254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

338254560 is an abundant number, since it is smaller than the sum of its proper divisors (1039237920).

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

338254560 is a wasteful number, since it uses less digits than its factorization.

338254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 338254560 is about 18391.6981271442. The cubic root of 338254560 is about 696.7568065819.

The spelling of 338254560 in words is "three hundred thirty-eight million, two hundred fifty-four thousand, five hundred sixty".