233389464 has 384 divisors, whose sum is σ = 848793600. Its totient is φ = 51701760.

The previous prime is 233389459. The next prime is 233389489. The reversal of 233389464 is 464983332.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10147357 + ... + 10147379.

It is an arithmetic number, because the mean of its divisors is an integer number (2210400).

Almost surely, 2^233389464 is an apocalyptic number.

233389464 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 233389464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424396800).

233389464 is an abundant number, since it is smaller than the sum of its proper divisors (615404136).

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

233389464 is a wasteful number, since it uses less digits than its factorization.

233389464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 233389464 is about 15277.0895133857. The cubic root of 233389464 is about 615.6876121705.

The spelling of 233389464 in words is "two hundred thirty-three million, three hundred eighty-nine thousand, four hundred sixty-four".