415550080 has 128 divisors (see below), whose sum is σ = 1101159360. Its totient is φ = 148684800.

The previous prime is 415550053. The next prime is 415550089. The reversal of 415550080 is 80055514.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (415550089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471240 + ... + 472120.

Almost surely, 2^415550080 is an apocalyptic number.

415550080 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 415550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550579680).

415550080 is an abundant number, since it is smaller than the sum of its proper divisors (685609280).

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

415550080 is a wasteful number, since it uses less digits than its factorization.

415550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 415550080 is about 20385.0454990907. The cubic root of 415550080 is about 746.2330106576.

The spelling of 415550080 in words is "four hundred fifteen million, five hundred fifty thousand, eighty".