290479680000 has 900 divisors, whose sum is σ = 1116031466550. Its totient is φ = 72695808000.

The previous prime is 290479679993. The next prime is 290479680059. The reversal of 290479680000 is 86974092.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 19097028864 + 271382651136 = 138192^2 + 520944^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 89 ways as a sum of consecutive naturals, for example, 832319826 + ... + 832320174.

Almost surely, 2^290479680000 is an apocalyptic number.

290479680000 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 290479680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558015733275).

290479680000 is an abundant number, since it is smaller than the sum of its proper divisors (825551786550).

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

290479680000 is an equidigital number, since it uses as much as digits as its factorization.

290479680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 290479680000 in words is "two hundred ninety billion, four hundred seventy-nine million, six hundred eighty thousand".