233777472 has 112 divisors (see below), whose sum is σ = 665317440. Its totient is φ = 72179712.

The previous prime is 233777443. The next prime is 233777473. The reversal of 233777472 is 274777332.

233777472 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233777473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218154 + ... + 219222.

Almost surely, 2^233777472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233777472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332658720).

233777472 is an abundant number, since it is smaller than the sum of its proper divisors (431539968).

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

233777472 is a wasteful number, since it uses less digits than its factorization.

233777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its digits is 345744, while the sum is 42.

The square root of 233777472 is about 15289.7832554945. The cubic root of 233777472 is about 616.0286150760.

The spelling of 233777472 in words is "two hundred thirty-three million, seven hundred seventy-seven thousand, four hundred seventy-two".