412132320 has 96 divisors (see below), whose sum is σ = 1442478240. Its totient is φ = 109900800.

The previous prime is 412132319. The next prime is 412132333. The reversal of 412132320 is 23231214.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412132293 and 412132302.

It is a congruent number.

It is an unprimeable number.

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, 43381 + ... + 52020.

It is an arithmetic number, because the mean of its divisors is an integer number (15025815).

Almost surely, 2^412132320 is an apocalyptic number.

412132320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412132320 is an abundant number, since it is smaller than the sum of its proper divisors (1030345920).

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

412132320 is a wasteful number, since it uses less digits than its factorization.

412132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95425 (or 95411 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412132320 is about 20301.0423377717. The cubic root of 412132320 is about 744.1815373867.

Adding to 412132320 its reverse (23231214), we get a palindrome (435363534).

The spelling of 412132320 in words is "four hundred twelve million, one hundred thirty-two thousand, three hundred twenty".