33309460 has 36 divisors (see below), whose sum is σ = 74301948. Its totient is φ = 12499968.

The previous prime is 33309449. The next prime is 33309461. The reversal of 33309460 is 6490333.

It can be written as a sum of positive squares in 6 ways, for example, as 11519236 + 21790224 = 3394^2 + 4668^2 .

It is a super-2 number, since 2×33309460² = 2219040250983200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33309461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106264 + ... + 106576.

It is an arithmetic number, because the mean of its divisors is an integer number (2063943).

Almost surely, 2^33309460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33309460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37150974).

33309460 is an abundant number, since it is smaller than the sum of its proper divisors (40992488).

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

33309460 is a wasteful number, since it uses less digits than its factorization.

33309460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 33309460 is about 5771.4348302653. The cubic root of 33309460 is about 321.7529450193.

Adding to 33309460 its reverse (6490333), we get a palindrome (39799793).

The spelling of 33309460 in words is "thirty-three million, three hundred nine thousand, four hundred sixty".