233286480 has 400 divisors, whose sum is σ = 957855360. Its totient is φ = 51508224.

The previous prime is 233286479. The next prime is 233286497. The reversal of 233286480 is 84682332.

233286480 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 8 + 648 + 0 = 666.

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

It is a congruent number.

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, 1678251 + ... + 1678389.

Almost surely, 2^233286480 is an apocalyptic number.

233286480 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 233286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478927680).

233286480 is an abundant number, since it is smaller than the sum of its proper divisors (724568880).

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

233286480 is a wasteful number, since it uses less digits than its factorization.

233286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 233286480 is about 15273.7186041907. The cubic root of 233286480 is about 615.5970406707.

The spelling of 233286480 in words is "two hundred thirty-three million, two hundred eighty-six thousand, four hundred eighty".