245249280 has 216 divisors, whose sum is σ = 864918600. Its totient is φ = 64143360.

The previous prime is 245249261. The next prime is 245249281. The reversal of 245249280 is 82942542.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 240374016 = 2208^2 + 15504^2 .

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 (245249281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702546 + ... + 702894.

Almost surely, 2^245249280 is an apocalyptic number.

245249280 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 245249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432459300).

245249280 is an abundant number, since it is smaller than the sum of its proper divisors (619669320).

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

245249280 is a wasteful number, since it uses less digits than its factorization.

245249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 245249280 is about 15660.4367755181. The cubic root of 245249280 is about 625.9446238447.

The spelling of 245249280 in words is "two hundred forty-five million, two hundred forty-nine thousand, two hundred eighty".