245312000 has 80 divisors (see below), whose sum is σ = 611860392. Its totient is φ = 98099200.

The previous prime is 245311949. The next prime is 245312009. The reversal of 245312000 is 213542.

It can be written as a sum of positive squares in 4 ways, for example, as 41165056 + 204146944 = 6416^2 + 14288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 245312000.

It is not an unprimeable number, because it can be changed into a prime (245312009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62084 + ... + 65916.

Almost surely, 2^245312000 is an apocalyptic number.

245312000 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 245312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305930196).

245312000 is an abundant number, since it is smaller than the sum of its proper divisors (366548392).

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

245312000 is an frugal number, since it uses more digits than its factorization.

245312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 245312000 is about 15662.4391459313. The cubic root of 245312000 is about 625.9979789460.

Adding to 245312000 its reverse (213542), we get a palindrome (245525542).

The spelling of 245312000 in words is "two hundred forty-five million, three hundred twelve thousand".