290472560 has 80 divisors (see below), whose sum is σ = 776039616. Its totient is φ = 99047424.

The previous prime is 290472491. The next prime is 290472569. The reversal of 290472560 is 65274092.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×290472560² = 168748616225907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 290472560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290472569) 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, 109004 + ... + 111636.

Almost surely, 2^290472560 is an apocalyptic number.

290472560 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 290472560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388019808).

290472560 is an abundant number, since it is smaller than the sum of its proper divisors (485567056).

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

290472560 is a wasteful number, since it uses less digits than its factorization.

290472560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 290472560 is about 17043.2555575512. The cubic root of 290472560 is about 662.2699312671.

The spelling of 290472560 in words is "two hundred ninety million, four hundred seventy-two thousand, five hundred sixty".