235352400 has 120 divisors (see below), whose sum is σ = 780024480. Its totient is φ = 60587520.

The previous prime is 235352347. The next prime is 235352407. The reversal of 235352400 is 4253532.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235352407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31419 + ... + 38181.

It is an arithmetic number, because the mean of its divisors is an integer number (6500204).

Almost surely, 2^235352400 is an apocalyptic number.

235352400 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 235352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390012240).

235352400 is an abundant number, since it is smaller than the sum of its proper divisors (544672080).

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

235352400 is a wasteful number, since it uses less digits than its factorization.

235352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 235352400 is about 15341.1994315960. The cubic root of 235352400 is about 617.4088879760.

The spelling of 235352400 in words is "two hundred thirty-five million, three hundred fifty-two thousand, four hundred".