290225879500 has 48 divisors (see below), whose sum is σ = 661412187072. Its totient is φ = 111042940800.

The previous prime is 290225879473. The next prime is 290225879501. The reversal of 290225879500 is 5978522092.

It is a super-3 number, since 3×290225879500³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (290225879501) 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, 12607017 + ... + 12630016.

It is an arithmetic number, because the mean of its divisors is an integer number (13779420564).

Almost surely, 2^290225879500 is an apocalyptic number.

290225879500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290225879500 is an abundant number, since it is smaller than the sum of its proper divisors (371186307572).

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

290225879500 is a wasteful number, since it uses less digits than its factorization.

290225879500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25237075 (or 25237063 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 290225879500 in words is "two hundred ninety billion, two hundred twenty-five million, eight hundred seventy-nine thousand, five hundred".