245953680 has 160 divisors (see below), whose sum is σ = 876158208. Its totient is φ = 55910400.

The previous prime is 245953657. The next prime is 245953699. The reversal of 245953680 is 86359542.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471820 + ... + 472340.

Almost surely, 2^245953680 is an apocalyptic number.

245953680 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 245953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438079104).

245953680 is an abundant number, since it is smaller than the sum of its proper divisors (630204528).

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

245953680 is a wasteful number, since it uses less digits than its factorization.

245953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 245953680 is about 15682.9104441746. The cubic root of 245953680 is about 626.5433261608.

The spelling of 245953680 in words is "two hundred forty-five million, nine hundred fifty-three thousand, six hundred eighty".