233272550400 has 528 divisors, whose sum is σ = 824376486528. Its totient is φ = 58032128000.

The previous prime is 233272550353. The next prime is 233272550447. The reversal of 233272550400 is 4055272332.

It is an interprime number because it is at equal distance from previous prime (233272550353) and next prime (233272550447).

It is a super-4 number, since 4×233272550400⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72420790 + ... + 72424010.

Almost surely, 2^233272550400 is an apocalyptic number.

233272550400 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 233272550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412188243264).

233272550400 is an abundant number, since it is smaller than the sum of its proper divisors (591103936128).

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

233272550400 is a wasteful number, since it uses less digits than its factorization.

233272550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The spelling of 233272550400 in words is "two hundred thirty-three billion, two hundred seventy-two million, five hundred fifty thousand, four hundred".