245536400 has 30 divisors (see below), whose sum is σ = 589902162. Its totient is φ = 98214400.

The previous prime is 245536397. The next prime is 245536409. The reversal of 245536400 is 4635542.

245536400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 245486224 = 224^2 + 15668^2 .

It is not an unprimeable number, because it can be changed into a prime (245536409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306521 + ... + 307320.

Almost surely, 2^245536400 is an apocalyptic number.

245536400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245536400 is an abundant number, since it is smaller than the sum of its proper divisors (344365762).

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

245536400 is a wasteful number, since it uses less digits than its factorization.

245536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613859 (or 613848 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 245536400 is about 15669.6011436156. The cubic root of 245536400 is about 626.1887987119.

The spelling of 245536400 in words is "two hundred forty-five million, five hundred thirty-six thousand, four hundred".