415376448 has 56 divisors (see below), whose sum is σ = 1103071200. Its totient is φ = 137948160.

The previous prime is 415376447. The next prime is 415376449. The reversal of 415376448 is 844673514.

It is an interprime number because it is at equal distance from previous prime (415376447) and next prime (415376449).

It is not an unprimeable number, because it can be changed into a prime (415376441) 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, 50103 + ... + 57801.

It is an arithmetic number, because the mean of its divisors is an integer number (19697700).

Almost surely, 2^415376448 is an apocalyptic number.

415376448 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 415376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551535600).

415376448 is an abundant number, since it is smaller than the sum of its proper divisors (687694752).

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

415376448 is a wasteful number, since it uses less digits than its factorization.

415376448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7995 (or 7985 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 415376448 is about 20380.7862458738. The cubic root of 415376448 is about 746.1290617099.

It can be divided in two parts, 4153 and 76448, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 415376448 in words is "four hundred fifteen million, three hundred seventy-six thousand, four hundred forty-eight".