412046448 has 80 divisors (see below), whose sum is σ = 1168425216. Its totient is φ = 124088320.

The previous prime is 412046443. The next prime is 412046461. The reversal of 412046448 is 844640214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412046443) 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 15 ways as a sum of consecutive naturals, for example, 85840 + ... + 90512.

Almost surely, 2^412046448 is an apocalyptic number.

412046448 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 412046448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584212608).

412046448 is an abundant number, since it is smaller than the sum of its proper divisors (756378768).

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

412046448 is a wasteful number, since it uses less digits than its factorization.

412046448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 412046448 is about 20298.9272622964. The cubic root of 412046448 is about 744.1298478420.

The spelling of 412046448 in words is "four hundred twelve million, forty-six thousand, four hundred forty-eight".