412431648 has 96 divisors (see below), whose sum is σ = 1105477632. Its totient is φ = 134611200.

The previous prime is 412431647. The next prime is 412431659. The reversal of 412431648 is 846134214.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (412431647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521753 + ... + 1522023.

It is an arithmetic number, because the mean of its divisors is an integer number (11515392).

Almost surely, 2^412431648 is an apocalyptic number.

412431648 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 412431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552738816).

412431648 is an abundant number, since it is smaller than the sum of its proper divisors (693045984).

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

412431648 is a wasteful number, since it uses less digits than its factorization.

412431648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 412431648 is about 20308.4132319588. The cubic root of 412431648 is about 744.3616579078.

The spelling of 412431648 in words is "four hundred twelve million, four hundred thirty-one thousand, six hundred forty-eight".