352585890 has 48 divisors (see below), whose sum is σ = 922599288. Its totient is φ = 93420288.

The previous prime is 352585889. The next prime is 352585903. The reversal of 352585890 is 98585253.

It can be written as a sum of positive squares in 4 ways, for example, as 284968161 + 67617729 = 16881^2 + 8223^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1654 + ... + 26606.

Almost surely, 2^352585890 is an apocalyptic number.

352585890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352585890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461299644).

352585890 is an abundant number, since it is smaller than the sum of its proper divisors (570013398).

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

352585890 is a wasteful number, since it uses less digits than its factorization.

352585890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25123 (or 25120 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 352585890 is about 18777.2705684293. The cubic root of 352585890 is about 706.4611915460.

The spelling of 352585890 in words is "three hundred fifty-two million, five hundred eighty-five thousand, eight hundred ninety".