415133400 has 192 divisors, whose sum is σ = 1449907200. Its totient is φ = 97344000.

The previous prime is 415133393. The next prime is 415133401. The reversal of 415133400 is 4331514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415133401) 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 47 ways as a sum of consecutive naturals, for example, 203586 + ... + 205614.

It is an arithmetic number, because the mean of its divisors is an integer number (7551600).

Almost surely, 2^415133400 is an apocalyptic number.

415133400 is a gapful number since it is divisible by the number (40) 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 415133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724953600).

415133400 is an abundant number, since it is smaller than the sum of its proper divisors (1034773800).

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

415133400 is a wasteful number, since it uses less digits than its factorization.

415133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 415133400 is about 20374.8226986151. The cubic root of 415133400 is about 745.9835065486.

Adding to 415133400 its reverse (4331514), we get a palindrome (419464914).

The spelling of 415133400 in words is "four hundred fifteen million, one hundred thirty-three thousand, four hundred".