415552128 has 64 divisors (see below), whose sum is σ = 1112632320. Its totient is φ = 137410560.

The previous prime is 415552127. The next prime is 415552147. The reversal of 415552128 is 821255514.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (415552127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44508 + ... + 53028.

It is an arithmetic number, because the mean of its divisors is an integer number (17384880).

Almost surely, 2^415552128 is an apocalyptic number.

415552128 is a gapful number since it is divisible by the number (48) 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 415552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556316160).

415552128 is an abundant number, since it is smaller than the sum of its proper divisors (697080192).

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

415552128 is a wasteful number, since it uses less digits than its factorization.

415552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665 (or 8653 counting only the distinct ones).

The product of its digits is 16000, while the sum is 33.

The square root of 415552128 is about 20385.0957319312. The cubic root of 415552128 is about 746.2342365690.

The spelling of 415552128 in words is "four hundred fifteen million, five hundred fifty-two thousand, one hundred twenty-eight".