290412144 has 120 divisors (see below), whose sum is σ = 893692800. Its totient is φ = 87304320.

The previous prime is 290412127. The next prime is 290412151. The reversal of 290412144 is 441214092.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219517 + ... + 220835.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2^290412144 is an apocalyptic number.

290412144 is a gapful number since it is divisible by the number (24) 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 290412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

290412144 is an abundant number, since it is smaller than the sum of its proper divisors (603280656).

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

290412144 is a wasteful number, since it uses less digits than its factorization.

290412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 290412144 is about 17041.4830340555. The cubic root of 290412144 is about 662.2240124437.

The spelling of 290412144 in words is "two hundred ninety million, four hundred twelve thousand, one hundred forty-four".