234663450400 has 144 divisors (see below), whose sum is σ = 576829658664. Its totient is φ = 93218734080.

The previous prime is 234663450391. The next prime is 234663450401. The reversal of 234663450400 is 4054366432.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17444069776 + 217219380624 = 132076^2 + 466068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 234663450400.

It is not an unprimeable number, because it can be changed into a prime (234663450401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135407934 + ... + 135409666.

Almost surely, 2^234663450400 is an apocalyptic number.

234663450400 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 234663450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288414829332).

234663450400 is an abundant number, since it is smaller than the sum of its proper divisors (342166208264).

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

234663450400 is a wasteful number, since it uses less digits than its factorization.

234663450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 234663450400 in words is "two hundred thirty-four billion, six hundred sixty-three million, four hundred fifty thousand, four hundred".