235376000 has 128 divisors (see below), whose sum is σ = 599564160. Its totient is φ = 91852800.

The previous prime is 235375993. The next prime is 235376027. The reversal of 235376000 is 673532.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×235376000² = 110803722752000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751844 + ... + 752156.

It is an arithmetic number, because the mean of its divisors is an integer number (4684095).

Almost surely, 2^235376000 is an apocalyptic number.

235376000 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 235376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299782080).

235376000 is an abundant number, since it is smaller than the sum of its proper divisors (364188160).

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

235376000 is an equidigital number, since it uses as much as digits as its factorization.

235376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 235376000 is about 15341.9685829427. The cubic root of 235376000 is about 617.4295242116.

It can be divided in two parts, 235 and 376000, that multiplied together give a square (88360000 = 9400²).

The spelling of 235376000 in words is "two hundred thirty-five million, three hundred seventy-six thousand".