238645440 has 448 divisors, whose sum is σ = 959754240. Its totient is φ = 55987200.

The previous prime is 238645427. The next prime is 238645483. The reversal of 238645440 is 44546832.

238645440 is a `hidden beast` number, since 2 + 3 + 8 + 645 + 4 + 4 + 0 = 666.

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 = 238645395 and 238645404.

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, 7698225 + ... + 7698255.

Almost surely, 2^238645440 is an apocalyptic number.

238645440 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 238645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479877120).

238645440 is an abundant number, since it is smaller than the sum of its proper divisors (721108800).

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

238645440 is an equidigital number, since it uses as much as digits as its factorization.

238645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 238645440 is about 15448.1532876911. The cubic root of 238645440 is about 620.2751466932.

The spelling of 238645440 in words is "two hundred thirty-eight million, six hundred forty-five thousand, four hundred forty".