246226400 has 72 divisors (see below), whose sum is σ = 686987280. Its totient is φ = 84418560.

The previous prime is 246226399. The next prime is 246226403. The reversal of 246226400 is 4622642.

It is a self number, because there is not a number n which added to its sum of digits gives 246226400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246226403) 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, 16385 + ... + 27584.

It is an arithmetic number, because the mean of its divisors is an integer number (9541490).

Almost surely, 2^246226400 is an apocalyptic number.

246226400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

246226400 is an abundant number, since it is smaller than the sum of its proper divisors (440760880).

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

246226400 is a wasteful number, since it uses less digits than its factorization.

246226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43996 (or 43983 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 246226400 is about 15691.6028499322. The cubic root of 246226400 is about 626.7748166043.

The spelling of 246226400 in words is "two hundred forty-six million, two hundred twenty-six thousand, four hundred".