238485408 has 96 divisors (see below), whose sum is σ = 718147584. Its totient is φ = 67882752.

The previous prime is 238485407. The next prime is 238485421. The reversal of 238485408 is 804584832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×238485408³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 238485408.

It is not an unprimeable number, because it can be changed into a prime (238485407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246141 + ... + 247107.

It is an arithmetic number, because the mean of its divisors is an integer number (7480704).

Almost surely, 2^238485408 is an apocalyptic number.

238485408 is a gapful number since it is divisible by the number (28) 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 238485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359073792).

238485408 is an abundant number, since it is smaller than the sum of its proper divisors (479662176).

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

238485408 is a wasteful number, since it uses less digits than its factorization.

238485408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 238485408 is about 15442.9727708107. The cubic root of 238485408 is about 620.1364666653.

The spelling of 238485408 in words is "two hundred thirty-eight million, four hundred eighty-five thousand, four hundred eight".