290204640 has 384 divisors, whose sum is σ = 1149603840. Its totient is φ = 67737600.

The previous prime is 290204599. The next prime is 290204641. The reversal of 290204640 is 46402092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290204641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473022 + ... + 1473218.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^290204640 is an apocalyptic number.

290204640 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 290204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

290204640 is an abundant number, since it is smaller than the sum of its proper divisors (859399200).

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

290204640 is a wasteful number, since it uses less digits than its factorization.

290204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 290204640 is about 17035.3937436151. The cubic root of 290204640 is about 662.0662517400.

The spelling of 290204640 in words is "two hundred ninety million, two hundred four thousand, six hundred forty".