233764416 has 84 divisors (see below), whose sum is σ = 709487532. Its totient is φ = 73334784.

The previous prime is 233764393. The next prime is 233764441. The reversal of 233764416 is 614467332.

It is a happy number.

233764416 is a `hidden beast` number, since 2 + 3 + 3 + 7 + 644 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101606400 + 132158016 = 10080^2 + 11496^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2145 + ... + 21728.

Almost surely, 2^233764416 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 233764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354743766).

233764416 is an abundant number, since it is smaller than the sum of its proper divisors (475723116).

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

233764416 is a wasteful number, since it uses less digits than its factorization.

233764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23908 (or 23895 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 233764416 is about 15289.3562977648. The cubic root of 233764416 is about 616.0171468775.

The spelling of 233764416 in words is "two hundred thirty-three million, seven hundred sixty-four thousand, four hundred sixteen".