238146480 has 400 divisors, whose sum is σ = 975500064. Its totient is φ = 53084160.

The previous prime is 238146473. The next prime is 238146499. The reversal of 238146480 is 84641832.

238146480 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 4 + 648 + 0 = 666.

238146480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926512 + ... + 926768.

Almost surely, 2^238146480 is an apocalyptic number.

238146480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238146480 is the 8910-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487750032).

238146480 is an abundant number, since it is smaller than the sum of its proper divisors (737353584).

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

238146480 is a wasteful number, since it uses less digits than its factorization.

238146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

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

The square root of 238146480 is about 15431.9953343694. The cubic root of 238146480 is about 619.8425545406.

The spelling of 238146480 in words is "two hundred thirty-eight million, one hundred forty-six thousand, four hundred eighty".