290713104 has 160 divisors (see below), whose sum is σ = 919226880. Its totient is φ = 87235200.

The previous prime is 290713069. The next prime is 290713117. The reversal of 290713104 is 401317092.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 622279 + ... + 622745.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^290713104 is an apocalyptic number.

290713104 is a gapful number since it is divisible by the number (24) 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 290713104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

290713104 is an abundant number, since it is smaller than the sum of its proper divisors (628513776).

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

290713104 is a wasteful number, since it uses less digits than its factorization.

290713104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 290713104 is about 17050.3109649062. The cubic root of 290713104 is about 662.4526921957.

The spelling of 290713104 in words is "two hundred ninety million, seven hundred thirteen thousand, one hundred four".