290012484960 has 576 divisors, whose sum is σ = 1093026602304. Its totient is φ = 69440716800.

The previous prime is 290012484959. The next prime is 290012484961. The reversal of 290012484960 is 69484210092.

It is an interprime number because it is at equal distance from previous prime (290012484959) and next prime (290012484961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290012484961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 688865550 + ... + 688865970.

It is an arithmetic number, because the mean of its divisors is an integer number (1897615629).

Almost surely, 2^290012484960 is an apocalyptic number.

290012484960 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 290012484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546513301152).

290012484960 is an abundant number, since it is smaller than the sum of its proper divisors (803014117344).

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

290012484960 is a wasteful number, since it uses less digits than its factorization.

290012484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 290012484960 in words is "two hundred ninety billion, twelve million, four hundred eighty-four thousand, nine hundred sixty".