233152300403400 has 384 divisors, whose sum is σ = 878368791156480. Its totient is φ = 49941863301120.

The previous prime is 233152300403359. The next prime is 233152300403413. The reversal of 233152300403400 is 4304003251332.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9628822 + ... + 23643578.

It is an arithmetic number, because the mean of its divisors is an integer number (2287418726970).

Almost surely, 2^{233152300403400} is an apocalyptic number.

233152300403400 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 233152300403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439184395578240).

233152300403400 is an abundant number, since it is smaller than the sum of its proper divisors (645216490753080).

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

233152300403400 is a wasteful number, since it uses less digits than its factorization.

233152300403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14015033 (or 14015024 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 233152300403400 its reverse (4304003251332), we get a palindrome (237456303654732).

The spelling of 233152300403400 in words is "two hundred thirty-three trillion, one hundred fifty-two billion, three hundred million, four hundred three thousand, four hundred".