290693312 has 224 divisors, whose sum is σ = 778337280. Its totient is φ = 104509440.

The previous prime is 290693309. The next prime is 290693329. The reversal of 290693312 is 213396092.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4094237 + ... + 4094307.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^290693312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

290693312 is an abundant number, since it is smaller than the sum of its proper divisors (487643968).

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

290693312 is a wasteful number, since it uses less digits than its factorization.

290693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 290693312 is about 17049.7305550557. The cubic root of 290693312 is about 662.4376584034.

The spelling of 290693312 in words is "two hundred ninety million, six hundred ninety-three thousand, three hundred twelve".