290378220 has 288 divisors, whose sum is σ = 978130944. Its totient is φ = 64120320.

The previous prime is 290378219. The next prime is 290378233. The reversal of 290378220 is 22873092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6178237 + ... + 6178283.

It is an arithmetic number, because the mean of its divisors is an integer number (3396288).

Almost surely, 2^290378220 is an apocalyptic number.

290378220 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 290378220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489065472).

290378220 is an abundant number, since it is smaller than the sum of its proper divisors (687752724).

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

290378220 is a wasteful number, since it uses less digits than its factorization.

290378220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 290378220 is about 17040.4876690780. The cubic root of 290378220 is about 662.1982259162.

The spelling of 290378220 in words is "two hundred ninety million, three hundred seventy-eight thousand, two hundred twenty".