412401320 has 64 divisors (see below), whose sum is σ = 944833680. Its totient is φ = 161980416.

The previous prime is 412401313. The next prime is 412401331. The reversal of 412401320 is 23104214.

It can be written as a sum of positive squares in 8 ways, for example, as 267584164 + 144817156 = 16358^2 + 12034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608822 + ... + 609498.

Almost surely, 2^412401320 is an apocalyptic number.

412401320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412401320 is an abundant number, since it is smaller than the sum of its proper divisors (532432360).

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

412401320 is a wasteful number, since it uses less digits than its factorization.

412401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 412401320 is about 20307.6665326177. Note that the first 3 decimals coincide. The cubic root of 412401320 is about 744.3434120128.

Adding to 412401320 its reverse (23104214), we get a palindrome (435505534).

The spelling of 412401320 in words is "four hundred twelve million, four hundred one thousand, three hundred twenty".