338596440 has 256 divisors, whose sum is σ = 1266693120. Its totient is φ = 70502400.

The previous prime is 338596393. The next prime is 338596481. The reversal of 338596440 is 44695833.

It is a super-2 number, since 2×338596440² = 229295098361347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 338596392 and 338596401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1102767 + ... + 1103073.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^338596440 is an apocalyptic number.

338596440 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 338596440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633346560).

338596440 is an abundant number, since it is smaller than the sum of its proper divisors (928096680).

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

338596440 is a wasteful number, since it uses less digits than its factorization.

338596440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 338596440 is about 18400.9901907479. The cubic root of 338596440 is about 696.9914691081.

It can be divided in two parts, 338 and 596440, that added together give a triangular number (596778 = T₁₀₉₂).

The spelling of 338596440 in words is "three hundred thirty-eight million, five hundred ninety-six thousand, four hundred forty".