415504320 has 504 divisors, whose sum is σ = 1709909712. Its totient is φ = 85155840.

The previous prime is 415504301. The next prime is 415504333. The reversal of 415504320 is 23405514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5691804 + ... + 5691876.

It is an arithmetic number, because the mean of its divisors is an integer number (3392678).

Almost surely, 2^415504320 is an apocalyptic number.

415504320 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 415504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854954856).

415504320 is an abundant number, since it is smaller than the sum of its proper divisors (1294405392).

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

415504320 is a wasteful number, since it uses less digits than its factorization.

415504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 415504320 is about 20383.9230767779. The cubic root of 415504320 is about 746.2056181501.

Adding to 415504320 its reverse (23405514), we get a palindrome (438909834).

The spelling of 415504320 in words is "four hundred fifteen million, five hundred four thousand, three hundred twenty".