415424000 has 80 divisors (see below), whose sum is σ = 1036045296. Its totient is φ = 166144000.

The previous prime is 415423997. The next prime is 415424003. The reversal of 415424000 is 424514.

It is an interprime number because it is at equal distance from previous prime (415423997) and next prime (415424003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415424003) 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 7 ways as a sum of consecutive naturals, for example, 60755 + ... + 67245.

Almost surely, 2^415424000 is an apocalyptic number.

415424000 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 415424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518022648).

415424000 is an abundant number, since it is smaller than the sum of its proper divisors (620621296).

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

415424000 is an frugal number, since it uses more digits than its factorization.

415424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 415424000 is about 20381.9528014369. The cubic root of 415424000 is about 746.1575327314.

Adding to 415424000 its reverse (424514), we get a palindrome (415848514).

The spelling of 415424000 in words is "four hundred fifteen million, four hundred twenty-four thousand".