233945006400 has 1008 divisors, whose sum is σ = 976779148800. Its totient is φ = 52004229120.

The previous prime is 233945006329. The next prime is 233945006411. The reversal of 233945006400 is 4600549332.

233945006400 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 4 + 5 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 826660659 + ... + 826660941.

Almost surely, 2^233945006400 is an apocalyptic number.

233945006400 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 233945006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488389574400).

233945006400 is an abundant number, since it is smaller than the sum of its proper divisors (742834142400).

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

233945006400 is a wasteful number, since it uses less digits than its factorization.

233945006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 233945006400 in words is "two hundred thirty-three billion, nine hundred forty-five million, six thousand, four hundred".