245442960 has 300 divisors, whose sum is σ = 992919708. Its totient is φ = 56028672.

The previous prime is 245442949. The next prime is 245442961. The reversal of 245442960 is 69244542.

245442960 is a `hidden beast` number, since 24 + 544 + 2 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 199148544 = 6804^2 + 14112^2 .

It is a super-2 number, since 2×245442960² = 120484493227123200, which contains 22 as substring.

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 (245442961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317134 + ... + 317906.

Almost surely, 2^245442960 is an apocalyptic number.

245442960 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 245442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496459854).

245442960 is an abundant number, since it is smaller than the sum of its proper divisors (747476748).

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

245442960 is a wasteful number, since it uses less digits than its factorization.

245442960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 245442960 is about 15666.6192907085. The cubic root of 245442960 is about 626.1093556298.

The spelling of 245442960 in words is "two hundred forty-five million, four hundred forty-two thousand, nine hundred sixty".