23246400 has 168 divisors, whose sum is σ = 79369920. Its totient is φ = 5949440.

The previous prime is 23246393. The next prime is 23246401. The reversal of 23246400 is 464232.

It is a super-2 number, since 2×23246400² = 1080790225920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23246401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139117 + ... + 139283.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 2^23246400 is an apocalyptic number.

23246400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23246400 is the 2784-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684960).

23246400 is an abundant number, since it is smaller than the sum of its proper divisors (56123520).

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

23246400 is a wasteful number, since it uses less digits than its factorization.

23246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23246400 is about 4821.4520634348. The cubic root of 23246400 is about 285.3986418960.

The spelling of 23246400 in words is "twenty-three million, two hundred forty-six thousand, four hundred".