290408874496 has 80 divisors (see below), whose sum is σ = 627617251800. Its totient is φ = 133448859648.

The previous prime is 290408874461. The next prime is 290408874577. The reversal of 290408874496 is 694478804092.

It can be written as a sum of positive squares in 4 ways, for example, as 232385700096 + 58023174400 = 482064^2 + 240880^2 .

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428960 + ... + 1619488.

Almost surely, 2^290408874496 is an apocalyptic number.

290408874496 is a gapful number since it is divisible by the number (26) 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 290408874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313808625900).

290408874496 is an abundant number, since it is smaller than the sum of its proper divisors (337208377304).

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

290408874496 is a wasteful number, since it uses less digits than its factorization.

290408874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190789 (or 190773 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 290408874496 in words is "two hundred ninety billion, four hundred eight million, eight hundred seventy-four thousand, four hundred ninety-six".