290940100 has 72 divisors (see below), whose sum is σ = 705642336. Its totient is φ = 103200000.

The previous prime is 290940079. The next prime is 290940101. The reversal of 290940100 is 1049092.

290940100 = 132² + 133² + ... + 956².

290940100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×290940100² = 169292283576020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (290940101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41875 + ... + 48325.

It is an arithmetic number, because the mean of its divisors is an integer number (9800588).

Almost surely, 2^290940100 is an apocalyptic number.

290940100 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 290940100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352821168).

290940100 is an abundant number, since it is smaller than the sum of its proper divisors (414702236).

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

290940100 is a wasteful number, since it uses less digits than its factorization.

290940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 290940100 is about 17056.9663187801. The cubic root of 290940100 is about 662.6250671679.

Adding to 290940100 its reverse (1049092), we get a palindrome (291989192).

The spelling of 290940100 in words is "two hundred ninety million, nine hundred forty thousand, one hundred".