312435396 has 144 divisors (see below), whose sum is σ = 978350464. Its totient is φ = 81865728.

The previous prime is 312435353. The next prime is 312435397. The reversal of 312435396 is 693534213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312435396.

It is not an unprimeable number, because it can be changed into a prime (312435397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926940 + ... + 927276.

Almost surely, 2^312435396 is an apocalyptic number.

312435396 is a gapful number since it is divisible by the number (36) 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 312435396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489175232).

312435396 is an abundant number, since it is smaller than the sum of its proper divisors (665915068).

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

312435396 is a wasteful number, since it uses less digits than its factorization.

312435396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 645 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 312435396 is about 17675.8421581547. The cubic root of 312435396 is about 678.5576376630.

The spelling of 312435396 in words is "three hundred twelve million, four hundred thirty-five thousand, three hundred ninety-six".