245605248 has 288 divisors, whose sum is σ = 869193000. Its totient is φ = 66189312.

The previous prime is 245605237. The next prime is 245605249. The reversal of 245605248 is 842506542.

It is a happy number.

245605248 is a `hidden beast` number, since 2 + 4 + 5 + 605 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245605249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072398 + ... + 1072626.

Almost surely, 2^245605248 is an apocalyptic number.

245605248 is a gapful number since it is divisible by the number (28) 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 245605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434596500).

245605248 is an abundant number, since it is smaller than the sum of its proper divisors (623587752).

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

245605248 is a wasteful number, since it uses less digits than its factorization.

245605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 245605248 is about 15671.7978547453. The cubic root of 245605248 is about 626.2473206765.

The spelling of 245605248 in words is "two hundred forty-five million, six hundred five thousand, two hundred forty-eight".