238540464 has 160 divisors (see below), whose sum is σ = 735756480. Its totient is φ = 74649600.

The previous prime is 238540451. The next prime is 238540469. The reversal of 238540464 is 464045832.

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

It is not an unprimeable number, because it can be changed into a prime (238540469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594664 + ... + 595064.

It is an arithmetic number, because the mean of its divisors is an integer number (4598478).

Almost surely, 2^238540464 is an apocalyptic number.

238540464 is a gapful number since it is divisible by the number (24) 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 238540464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367878240).

238540464 is an abundant number, since it is smaller than the sum of its proper divisors (497216016).

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

238540464 is an equidigital number, since it uses as much as digits as its factorization.

238540464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

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

The square root of 238540464 is about 15444.7552262896. The cubic root of 238540464 is about 620.1841839192.

It can be divided in two parts, 2385 and 40464, that added together give a square (42849 = 207²).

The spelling of 238540464 in words is "two hundred thirty-eight million, five hundred forty thousand, four hundred sixty-four".