290472480 has 288 divisors, whose sum is σ = 1065512448. Its totient is φ = 74649600.

The previous prime is 290472473. The next prime is 290472491. The reversal of 290472480 is 84274092.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205160 + ... + 1205400.

It is an arithmetic number, because the mean of its divisors is an integer number (3699696).

Almost surely, 2^290472480 is an apocalyptic number.

290472480 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 290472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532756224).

290472480 is an abundant number, since it is smaller than the sum of its proper divisors (775039968).

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

290472480 is a wasteful number, since it uses less digits than its factorization.

290472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

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

The square root of 290472480 is about 17043.2532105816. The cubic root of 290472480 is about 662.2698704678.

The spelling of 290472480 in words is "two hundred ninety million, four hundred seventy-two thousand, four hundred eighty".