415403424 has 192 divisors, whose sum is σ = 1279152000. Its totient is φ = 130959360.

The previous prime is 415403423. The next prime is 415403497. The reversal of 415403424 is 424304514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415403423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1478164 + ... + 1478444.

It is an arithmetic number, because the mean of its divisors is an integer number (6662250).

Almost surely, 2^415403424 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 415403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639576000).

415403424 is an abundant number, since it is smaller than the sum of its proper divisors (863748576).

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

415403424 is a wasteful number, since it uses less digits than its factorization.

415403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 415403424 is about 20381.4480349165. The cubic root of 415403424 is about 746.1452134376.

Adding to 415403424 its reverse (424304514), we get a palindrome (839707938).

The spelling of 415403424 in words is "four hundred fifteen million, four hundred three thousand, four hundred twenty-four".