290340864 has 180 divisors, whose sum is σ = 920097360. Its totient is φ = 87490560.

The previous prime is 290340857. The next prime is 290340877. The reversal of 290340864 is 468043092.

It is a happy number.

It is a super-3 number, since 3×290340864³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621927 + ... + 1622105.

It is an arithmetic number, because the mean of its divisors is an integer number (5111652).

Almost surely, 2^290340864 is an apocalyptic number.

290340864 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 290340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460048680).

290340864 is an abundant number, since it is smaller than the sum of its proper divisors (629756496).

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

290340864 is a wasteful number, since it uses less digits than its factorization.

290340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 290340864 is about 17039.3915384324. The cubic root of 290340864 is about 662.1698283115.

The spelling of 290340864 in words is "two hundred ninety million, three hundred forty thousand, eight hundred sixty-four".