415428480 has 256 divisors, whose sum is σ = 1523880000. Its totient is φ = 106831872.

The previous prime is 415428467. The next prime is 415428487. The reversal of 415428480 is 84824514.

415428480 is a `hidden beast` number, since 4 + 154 + 28 + 480 = 666.

It is a super-2 number, since 2×415428480² = 345161643990220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415428487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500706 + ... + 501534.

Almost surely, 2^415428480 is an apocalyptic number.

415428480 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 415428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761940000).

415428480 is an abundant number, since it is smaller than the sum of its proper divisors (1108451520).

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

415428480 is a wasteful number, since it uses less digits than its factorization.

415428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 415428480 is about 20382.0627022880. The cubic root of 415428480 is about 746.1602149498.

The spelling of 415428480 in words is "four hundred fifteen million, four hundred twenty-eight thousand, four hundred eighty".