290028660480 has 1728 divisors, whose sum is σ = 1241014763520. Its totient is φ = 63764692992.

The previous prime is 290028660469. The next prime is 290028660521. The reversal of 290028660480 is 84066820092.

290028660480 is a `hidden beast` number, since 2 + 90 + 0 + 2 + 86 + 6 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×290028660480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2283690177 + ... + 2283690303.

It is an arithmetic number, because the mean of its divisors is an integer number (718179840).

Almost surely, 2^290028660480 is an apocalyptic number.

290028660480 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 290028660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620507381760).

290028660480 is an abundant number, since it is smaller than the sum of its proper divisors (950986103040).

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

290028660480 is a wasteful number, since it uses less digits than its factorization.

290028660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 290028660480 in words is "two hundred ninety billion, twenty-eight million, six hundred sixty thousand, four hundred eighty".