238890240 has 216 divisors, whose sum is σ = 839409480. Its totient is φ = 62717952.

The previous prime is 238890229. The next prime is 238890251. The reversal of 238890240 is 42098832.

It is an interprime number because it is at equal distance from previous prime (238890229) and next prime (238890251).

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 238887936 = 48^2 + 15456^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 238890195 and 238890204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025164 + ... + 1025396.

It is an arithmetic number, because the mean of its divisors is an integer number (3886155).

Almost surely, 2^238890240 is an apocalyptic number.

238890240 is a gapful number since it is divisible by the number (20) 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 238890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419704740).

238890240 is an abundant number, since it is smaller than the sum of its proper divisors (600519240).

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

238890240 is a wasteful number, since it uses less digits than its factorization.

238890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 238890240 is about 15456.0745339818. The cubic root of 238890240 is about 620.4871648035.

The spelling of 238890240 in words is "two hundred thirty-eight million, eight hundred ninety thousand, two hundred forty".