233973854400 has 672 divisors, whose sum is σ = 914722454016. Its totient is φ = 51609600000.

The previous prime is 233973854393. The next prime is 233973854423. The reversal of 233973854400 is 4458379332.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 233973854400.

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, 48732000 + ... + 48736800.

It is an arithmetic number, because the mean of its divisors is an integer number (1361194128).

Almost surely, 2^233973854400 is an apocalyptic number.

233973854400 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 233973854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457361227008).

233973854400 is an abundant number, since it is smaller than the sum of its proper divisors (680748599616).

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

233973854400 is a wasteful number, since it uses less digits than its factorization.

233973854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 233973854400 in words is "two hundred thirty-three billion, nine hundred seventy-three million, eight hundred fifty-four thousand, four hundred".