33407420 has 48 divisors (see below), whose sum is σ = 73180800. Its totient is φ = 12794880.

The previous prime is 33407401. The next prime is 33407447. The reversal of 33407420 is 2470433.

It is a happy number.

It is a super-2 number, since 2×33407420² = 2232111422112800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138500 + ... + 138740.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 2^33407420 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 33407420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590400).

33407420 is an abundant number, since it is smaller than the sum of its proper divisors (39773380).

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

33407420 is a wasteful number, since it uses less digits than its factorization.

33407420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 33407420 is about 5779.9152242918. The cubic root of 33407420 is about 322.0680514067.

Adding to 33407420 its reverse (2470433), we get a palindrome (35877853).

The spelling of 33407420 in words is "thirty-three million, four hundred seven thousand, four hundred twenty".