290379799160 has 128 divisors (see below), whose sum is σ = 734239088640. Its totient is φ = 102426508800.

The previous prime is 290379799141. The next prime is 290379799163. The reversal of 290379799160 is 61997973092.

It is a Cunningham number, because it is equal to 538869²-1.

It is a junction number, because it is equal to n+sod(n) for n = 290379799093 and 290379799102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290379799163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5361737 + ... + 5415623.

It is an arithmetic number, because the mean of its divisors is an integer number (5736242880).

Almost surely, 2^290379799160 is an apocalyptic number.

290379799160 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 290379799160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367119544320).

290379799160 is an abundant number, since it is smaller than the sum of its proper divisors (443859289480).

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

290379799160 is a wasteful number, since it uses less digits than its factorization.

290379799160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54277 (or 54273 counting only the distinct ones).

The product of its (nonzero) digits is 11573604, while the sum is 62.

The spelling of 290379799160 in words is "two hundred ninety billion, three hundred seventy-nine million, seven hundred ninety-nine thousand, one hundred sixty".