413048448 has 192 divisors, whose sum is σ = 1269777600. Its totient is φ = 128507904.

The previous prime is 413048443. The next prime is 413048491. The reversal of 413048448 is 844840314.

413048448 is a `hidden beast` number, since 4 + 130 + 484 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (413048443) 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 23 ways as a sum of consecutive naturals, for example, 2473261 + ... + 2473427.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2^413048448 is an apocalyptic number.

413048448 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 413048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634888800).

413048448 is an abundant number, since it is smaller than the sum of its proper divisors (856729152).

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

413048448 is a wasteful number, since it uses less digits than its factorization.

413048448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 413048448 is about 20323.5933830610. The cubic root of 413048448 is about 744.7325424631.

The spelling of 413048448 in words is "four hundred thirteen million, forty-eight thousand, four hundred forty-eight".