312765420 has 48 divisors (see below), whose sum is σ = 955358208. Its totient is φ = 75821760.

The previous prime is 312765419. The next prime is 312765421. The reversal of 312765420 is 24567213.

312765420 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (312765419) and next prime (312765421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (312765421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236284 + ... + 237603.

It is an arithmetic number, because the mean of its divisors is an integer number (19903296).

Almost surely, 2^312765420 is an apocalyptic number.

312765420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312765420 is an abundant number, since it is smaller than the sum of its proper divisors (642592788).

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

312765420 is a wasteful number, since it uses less digits than its factorization.

312765420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473910 (or 473908 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 312765420 is about 17685.1751475636. The cubic root of 312765420 is about 678.7964726413.

The spelling of 312765420 in words is "three hundred twelve million, seven hundred sixty-five thousand, four hundred twenty".