290431872 has 128 divisors (see below), whose sum is σ = 902496000. Its totient is φ = 91694592.

The previous prime is 290431829. The next prime is 290431873. The reversal of 290431872 is 278134092.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290431873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63453 + ... + 67875.

It is an arithmetic number, because the mean of its divisors is an integer number (7050750).

Almost surely, 2^290431872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451248000).

290431872 is an abundant number, since it is smaller than the sum of its proper divisors (612064128).

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

290431872 is a wasteful number, since it uses less digits than its factorization.

290431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 290431872 is about 17042.0618470888. The cubic root of 290431872 is about 662.2390072936.

The spelling of 290431872 in words is "two hundred ninety million, four hundred thirty-one thousand, eight hundred seventy-two".