33480400 has 30 divisors (see below), whose sum is σ = 80437622. Its totient is φ = 13392000.

The previous prime is 33480397. The next prime is 33480409. The reversal of 33480400 is 408433.

It can be written as a sum of positive squares in 3 ways, for example, as 440896 + 33039504 = 664^2 + 5748^2 .

It is a super-2 number, since 2×33480400² = 2241874368320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33480409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41451 + ... + 42250.

Almost surely, 2^33480400 is an apocalyptic number.

It is an amenable number.

33480400 is an abundant number, since it is smaller than the sum of its proper divisors (46957222).

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

33480400 is a wasteful number, since it uses less digits than its factorization.

33480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83719 (or 83708 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 33480400 is about 5786.2250215490. The cubic root of 33480400 is about 322.3024048484.

Adding to 33480400 its reverse (408433), we get a palindrome (33888833).

The spelling of 33480400 in words is "thirty-three million, four hundred eighty thousand, four hundred".