290213280 has 360 divisors, whose sum is σ = 1194036228. Its totient is φ = 66189312.

The previous prime is 290213257. The next prime is 290213309. The reversal of 290213280 is 82312092.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 285069456 + 5143824 = 16884^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634812 + ... + 635268.

Almost surely, 2^290213280 is an apocalyptic number.

290213280 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 290213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597018114).

290213280 is an abundant number, since it is smaller than the sum of its proper divisors (903822948).

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

290213280 is a wasteful number, since it uses less digits than its factorization.

290213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 290213280 is about 17035.6473314048. The cubic root of 290213280 is about 662.0728220411.

The spelling of 290213280 in words is "two hundred ninety million, two hundred thirteen thousand, two hundred eighty".