290875428760 has 128 divisors (see below), whose sum is σ = 766660608000. Its totient is φ = 99280460160.

The previous prime is 290875428751. The next prime is 290875428769. The reversal of 290875428760 is 67824578092.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (290875428751) and next prime (290875428769).

It is a junction number, because it is equal to n+sod(n) for n = 290875428695 and 290875428704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290875428769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3012025 + ... + 3107095.

It is an arithmetic number, because the mean of its divisors is an integer number (5989536000).

Almost surely, 2^290875428760 is an apocalyptic number.

290875428760 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 290875428760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383330304000).

290875428760 is an abundant number, since it is smaller than the sum of its proper divisors (475785179240).

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

290875428760 is a wasteful number, since it uses less digits than its factorization.

290875428760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95326 (or 95308 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 290875428760 in words is "two hundred ninety billion, eight hundred seventy-five million, four hundred twenty-eight thousand, seven hundred sixty".