290891406 has 64 divisors (see below), whose sum is σ = 662618880. Its totient is φ = 84395520.

The previous prime is 290891399. The next prime is 290891407. The reversal of 290891406 is 604198092.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290891407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490246 + ... + 490838.

It is an arithmetic number, because the mean of its divisors is an integer number (10353420).

Almost surely, 2^290891406 is an apocalyptic number.

290891406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 290891406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331309440).

290891406 is an abundant number, since it is smaller than the sum of its proper divisors (371727474).

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

290891406 is a wasteful number, since it uses less digits than its factorization.

290891406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 290891406 is about 17055.5388657175. The cubic root of 290891406 is about 662.5880977421.

The spelling of 290891406 in words is "two hundred ninety million, eight hundred ninety-one thousand, four hundred six".