233457820 has 48 divisors (see below), whose sum is σ = 513511488. Its totient is φ = 88985600.

The previous prime is 233457811. The next prime is 233457839. The reversal of 233457820 is 28754332.

233457820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 145020 + ... + 146620.

It is an arithmetic number, because the mean of its divisors is an integer number (10698156).

Almost surely, 2^233457820 is an apocalyptic number.

233457820 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 233457820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256755744).

233457820 is an abundant number, since it is smaller than the sum of its proper divisors (280053668).

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

233457820 is a wasteful number, since it uses less digits than its factorization.

233457820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 233457820 is about 15279.3265558401. The cubic root of 233457820 is about 615.7477146184.

The spelling of 233457820 in words is "two hundred thirty-three million, four hundred fifty-seven thousand, eight hundred twenty".