290478240 has 288 divisors, whose sum is σ = 1089728640. Its totient is φ = 70023168.

The previous prime is 290478193. The next prime is 290478259. The reversal of 290478240 is 42874092.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 290478195 and 290478204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104349 + ... + 1104611.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^290478240 is an apocalyptic number.

290478240 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 290478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

290478240 is an abundant number, since it is smaller than the sum of its proper divisors (799250400).

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

290478240 is a wasteful number, since it uses less digits than its factorization.

290478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 290478240 is about 17043.4221915670. The cubic root of 290478240 is about 662.2742479900.

The spelling of 290478240 in words is "two hundred ninety million, four hundred seventy-eight thousand, two hundred forty".