245394400 has 72 divisors (see below), whose sum is σ = 603711360. Its totient is φ = 97397760.

The previous prime is 245394377. The next prime is 245394403. The reversal of 245394400 is 4493542.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245394403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108481 + ... + 110719.

It is an arithmetic number, because the mean of its divisors is an integer number (8384880).

Almost surely, 2^245394400 is an apocalyptic number.

245394400 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 245394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301855680).

245394400 is an abundant number, since it is smaller than the sum of its proper divisors (358316960).

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

245394400 is a wasteful number, since it uses less digits than its factorization.

245394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 245394400 is about 15665.0694221251. The cubic root of 245394400 is about 626.0680617509.

The spelling of 245394400 in words is "two hundred forty-five million, three hundred ninety-four thousand, four hundred".