290822532 has 288 divisors, whose sum is σ = 960970752. Its totient is φ = 66528000.

The previous prime is 290822513. The next prime is 290822533. The reversal of 290822532 is 235228092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 290822493 and 290822502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290822533) 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, 4096057 + ... + 4096127.

It is an arithmetic number, because the mean of its divisors is an integer number (3336704).

Almost surely, 2^290822532 is an apocalyptic number.

290822532 is a gapful number since it is divisible by the number (22) 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 290822532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480485376).

290822532 is an abundant number, since it is smaller than the sum of its proper divisors (670148220).

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

290822532 is a wasteful number, since it uses less digits than its factorization.

290822532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 290822532 is about 17053.5196367202. The cubic root of 290822532 is about 662.5358002251.

The spelling of 290822532 in words is "two hundred ninety million, eight hundred twenty-two thousand, five hundred thirty-two".