312204420 has 72 divisors (see below), whose sum is σ = 1033119360. Its totient is φ = 75685440.

The previous prime is 312204383. The next prime is 312204479. The reversal of 312204420 is 24402213.

312204420 is a `hidden beast` number, since 3 + 1 + 220 + 442 + 0 = 666.

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 = 312204393 and 312204402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76860 + ... + 80819.

It is an arithmetic number, because the mean of its divisors is an integer number (14348880).

Almost surely, 2^312204420 is an apocalyptic number.

312204420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312204420 is an abundant number, since it is smaller than the sum of its proper divisors (720914940).

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

312204420 is a wasteful number, since it uses less digits than its factorization.

312204420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157705 (or 157700 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 312204420 is about 17669.3072869312. The cubic root of 312204420 is about 678.3903826409.

Adding to 312204420 its reverse (24402213), we get a palindrome (336606633).

The spelling of 312204420 in words is "three hundred twelve million, two hundred four thousand, four hundred twenty".