235372800 has 432 divisors, whose sum is σ = 894192768. Its totient is φ = 54067200.

The previous prime is 235372789. The next prime is 235372807. The reversal of 235372800 is 8273532.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235372807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5740780 + ... + 5740820.

Almost surely, 2^235372800 is an apocalyptic number.

235372800 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 235372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447096384).

235372800 is an abundant number, since it is smaller than the sum of its proper divisors (658819968).

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

235372800 is a wasteful number, since it uses less digits than its factorization.

235372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 235372800 is about 15341.8642934945. The cubic root of 235372800 is about 617.4267261588.

The spelling of 235372800 in words is "two hundred thirty-five million, three hundred seventy-two thousand, eight hundred".