235478400 has 192 divisors, whose sum is σ = 817060800. Its totient is φ = 59443200.

The previous prime is 235478389. The next prime is 235478429. The reversal of 235478400 is 4874532.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181755 + ... + 183045.

It is an arithmetic number, because the mean of its divisors is an integer number (4255525).

Almost surely, 2^235478400 is an apocalyptic number.

235478400 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 235478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408530400).

235478400 is an abundant number, since it is smaller than the sum of its proper divisors (581582400).

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

235478400 is a wasteful number, since it uses less digits than its factorization.

235478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 235478400 is about 15345.3054710553. The cubic root of 235478400 is about 617.5190485144.

The spelling of 235478400 in words is "two hundred thirty-five million, four hundred seventy-eight thousand, four hundred".