290328480 has 216 divisors, whose sum is σ = 1073718828. Its totient is φ = 71405568.

The previous prime is 290328449. The next prime is 290328481. The reversal of 290328480 is 84823092.

290328480 is a `hidden beast` number, since 290 + 328 + 48 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30603024 + 259725456 = 5532^2 + 16116^2 .

It is a super-2 number, since 2×290328480² = 168581252598220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (290328481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242764 + ... + 243956.

Almost surely, 2^290328480 is an apocalyptic number.

290328480 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 290328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536859414).

290328480 is an abundant number, since it is smaller than the sum of its proper divisors (783390348).

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

290328480 is a wasteful number, since it uses less digits than its factorization.

290328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 290328480 is about 17039.0281412996. The cubic root of 290328480 is about 662.1604135984.

The spelling of 290328480 in words is "two hundred ninety million, three hundred twenty-eight thousand, four hundred eighty".