238778540 has 96 divisors (see below), whose sum is σ = 673311744. Its totient is φ = 68693760.

The previous prime is 238778513. The next prime is 238778557. The reversal of 238778540 is 45877832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 238778491 and 238778500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14057 + ... + 25983.

It is an arithmetic number, because the mean of its divisors is an integer number (7013664).

Almost surely, 2^238778540 is an apocalyptic number.

238778540 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 238778540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336655872).

238778540 is an abundant number, since it is smaller than the sum of its proper divisors (434533204).

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

238778540 is a wasteful number, since it uses less digits than its factorization.

238778540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The square root of 238778540 is about 15452.4606454765. The cubic root of 238778540 is about 620.3904408555.

The spelling of 238778540 in words is "two hundred thirty-eight million, seven hundred seventy-eight thousand, five hundred forty".