245760400 has 60 divisors (see below), whose sum is σ = 592160512. Its totient is φ = 98017920.

The previous prime is 245760397. The next prime is 245760419. The reversal of 245760400 is 4067542.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184537 + ... + 185863.

Almost surely, 2^245760400 is an apocalyptic number.

245760400 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 245760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296080256).

245760400 is an abundant number, since it is smaller than the sum of its proper divisors (346400112).

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

245760400 is a wasteful number, since it uses less digits than its factorization.

245760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 245760400 is about 15676.7471115662. The cubic root of 245760400 is about 626.3791624191.

The spelling of 245760400 in words is "two hundred forty-five million, seven hundred sixty thousand, four hundred".