238702464 has 640 divisors, whose sum is σ = 995258880. Its totient is φ = 54743040.

The previous prime is 238702463. The next prime is 238702489. The reversal of 238702464 is 464207832.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238702463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10378357 + ... + 10378379.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 2^238702464 is an apocalyptic number.

238702464 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 238702464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497629440).

238702464 is an abundant number, since it is smaller than the sum of its proper divisors (756556416).

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

238702464 is a wasteful number, since it uses less digits than its factorization.

238702464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 238702464 is about 15449.9988349514. The cubic root of 238702464 is about 620.3245473900.

Adding to 238702464 its sum of digits (36), we get a square (238702500 = 15450²).

The spelling of 238702464 in words is "two hundred thirty-eight million, seven hundred two thousand, four hundred sixty-four".