233890464 has 48 divisors (see below), whose sum is σ = 617555232. Its totient is φ = 77507328.

The previous prime is 233890463. The next prime is 233890477. The reversal of 233890464 is 464098332.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (233890463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9567 + ... + 23649.

It is an arithmetic number, because the mean of its divisors is an integer number (12865734).

Almost surely, 2^233890464 is an apocalyptic number.

233890464 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 233890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308777616).

233890464 is an abundant number, since it is smaller than the sum of its proper divisors (383664768).

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

233890464 is a wasteful number, since it uses less digits than its factorization.

233890464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14269 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 233890464 is about 15293.4778255307. The cubic root of 233890464 is about 616.1278477542.

The spelling of 233890464 in words is "two hundred thirty-three million, eight hundred ninety thousand, four hundred sixty-four".