238614480 has 360 divisors, whose sum is σ = 907997688. Its totient is φ = 56070144.

The previous prime is 238614473. The next prime is 238614487. The reversal of 238614480 is 84416832.

238614480 is a `hidden beast` number, since 2 + 38 + 614 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (238614473) and next prime (238614487).

It can be written as a sum of positive squares in 12 ways, for example, as 57335184 + 181279296 = 7572^2 + 13464^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (238614487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4502134 + ... + 4502186.

Almost surely, 2^238614480 is an apocalyptic number.

238614480 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 238614480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453998844).

238614480 is an abundant number, since it is smaller than the sum of its proper divisors (669383208).

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

238614480 is a wasteful number, since it uses less digits than its factorization.

238614480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238614480 is about 15447.1511936667. The cubic root of 238614480 is about 620.2483223116.

The spelling of 238614480 in words is "two hundred thirty-eight million, six hundred fourteen thousand, four hundred eighty".