338869440 has 448 divisors, whose sum is σ = 1474744320. Its totient is φ = 71331840.

The previous prime is 338869429. The next prime is 338869441. The reversal of 338869440 is 44968833.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×338869440² = 229664994731827200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (338869441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786025 + ... + 786455.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^338869440 is an apocalyptic number.

338869440 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 338869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

338869440 is an abundant number, since it is smaller than the sum of its proper divisors (1135874880).

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

338869440 is a wasteful number, since it uses less digits than its factorization.

338869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

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

The square root of 338869440 is about 18408.4067751666. The cubic root of 338869440 is about 697.1787397868.

The spelling of 338869440 in words is "three hundred thirty-eight million, eight hundred sixty-nine thousand, four hundred forty".