290905020 has 288 divisors, whose sum is σ = 1109541888. Its totient is φ = 62456832.

The previous prime is 290905009. The next prime is 290905051. The reversal of 290905020 is 20509092.

It is a super-3 number, since 3×290905020³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578089 + ... + 578591.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^290905020 is an apocalyptic number.

290905020 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 290905020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770944).

290905020 is an abundant number, since it is smaller than the sum of its proper divisors (818636868).

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

290905020 is a wasteful number, since it uses less digits than its factorization.

290905020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 290905020 is about 17055.9379689304. The cubic root of 290905020 is about 662.5984341695.

The spelling of 290905020 in words is "two hundred ninety million, nine hundred five thousand, twenty".