233086464 has 160 divisors (see below), whose sum is σ = 743598240. Its totient is φ = 71663616.

The previous prime is 233086453. The next prime is 233086499. The reversal of 233086464 is 464680332.

It is a happy number.

233086464 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 8 + 646 + 4 = 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 15 ways as a sum of consecutive naturals, for example, 179064 + ... + 180360.

It is an arithmetic number, because the mean of its divisors is an integer number (4647489).

Almost surely, 2^233086464 is an apocalyptic number.

233086464 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 233086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371799120).

233086464 is an abundant number, since it is smaller than the sum of its proper divisors (510511776).

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

233086464 is a wasteful number, since it uses less digits than its factorization.

233086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 233086464 is about 15267.1694822583. The cubic root of 233086464 is about 615.4210560985.

The spelling of 233086464 in words is "two hundred thirty-three million, eighty-six thousand, four hundred sixty-four".