233407025280 has 1536 divisors, whose sum is σ = 1013738342400. Its totient is φ = 50363596800.

The previous prime is 233407025273. The next prime is 233407025281. The reversal of 233407025280 is 82520704332.

233407025280 is a `hidden beast` number, since 2 + 334 + 0 + 70 + 252 + 8 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (233407025281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 842624502 + ... + 842624778.

It is an arithmetic number, because the mean of its divisors is an integer number (659985900).

Almost surely, 2^233407025280 is an apocalyptic number.

233407025280 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 233407025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506869171200).

233407025280 is an abundant number, since it is smaller than the sum of its proper divisors (780331317120).

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

233407025280 is a wasteful number, since it uses less digits than its factorization.

233407025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 233407025280 in words is "two hundred thirty-three billion, four hundred seven million, twenty-five thousand, two hundred eighty".