290532480 has 128 divisors (see below), whose sum is σ = 1058417280. Its totient is φ = 66404352.

The previous prime is 290532479. The next prime is 290532509. The reversal of 290532480 is 84235092.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632 + ... + 24248.

It is an arithmetic number, because the mean of its divisors is an integer number (8268885).

Almost surely, 2^290532480 is an apocalyptic number.

290532480 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 290532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529208640).

290532480 is an abundant number, since it is smaller than the sum of its proper divisors (767884800).

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

290532480 is a wasteful number, since it uses less digits than its factorization.

290532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21646 (or 21634 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 290532480 is about 17045.0133470174. The cubic root of 290532480 is about 662.3154668200.

The spelling of 290532480 in words is "two hundred ninety million, five hundred thirty-two thousand, four hundred eighty".