245052400 has 60 divisors (see below), whose sum is σ = 590246200. Its totient is φ = 97770240.

The previous prime is 245052389. The next prime is 245052463. The reversal of 245052400 is 4250542.

It is a congruent number.

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, 295186 + ... + 296014.

Almost surely, 2^245052400 is an apocalyptic number.

245052400 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 245052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295123100).

245052400 is an abundant number, since it is smaller than the sum of its proper divisors (345193800).

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

245052400 is a wasteful number, since it uses less digits than its factorization.

245052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 245052400 is about 15654.1496096083. The cubic root of 245052400 is about 625.7770814307. Note that the first 3 decimals are identical.

The spelling of 245052400 in words is "two hundred forty-five million, fifty-two thousand, four hundred".