412468896 has 192 divisors, whose sum is σ = 1298965248. Its totient is φ = 112140288.

The previous prime is 412468879. The next prime is 412468937. The reversal of 412468896 is 698864214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317636 + ... + 1317948.

It is an arithmetic number, because the mean of its divisors is an integer number (6765444).

Almost surely, 2^412468896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649482624).

412468896 is an abundant number, since it is smaller than the sum of its proper divisors (886496352).

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

412468896 is a wasteful number, since it uses less digits than its factorization.

412468896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 412468896 is about 20309.3302696076. The cubic root of 412468896 is about 744.3840657812.

The spelling of 412468896 in words is "four hundred twelve million, four hundred sixty-eight thousand, eight hundred ninety-six".