246400 has 96 divisors (see below), whose sum is σ = 758880. Its totient is φ = 76800.

The previous prime is 246391. The next prime is 246403. The reversal of 246400 is 4642.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22395 + ... + 22405.

It is an arithmetic number, because the mean of its divisors is an integer number (7905).

2²⁴⁶⁴⁰⁰ is an apocalyptic number.

246400 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 246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440).

246400 is an abundant number, since it is smaller than the sum of its proper divisors (512480).

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

246400 is a wasteful number, since it uses less digits than its factorization.

246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 246400 is about 496.3869458396. The cubic root of 246400 is about 62.6922082896.

246400 divided by its sum of digits (16) gives a triangular number (15400 = T₁₇₅).

It can be divided in two parts, 246 and 400, that added together give a palindrome (646).

The spelling of 246400 in words is "two hundred forty-six thousand, four hundred".