312419800 has 96 divisors (see below), whose sum is σ = 905656320. Its totient is φ = 97372800.

The previous prime is 312419797. The next prime is 312419819. The reversal of 312419800 is 8914213.

It is a happy number.

It is a super-2 number, since 2×312419800² = 195212262864080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 5257 + ... + 25543.

It is an arithmetic number, because the mean of its divisors is an integer number (9433920).

Almost surely, 2^312419800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452828160).

312419800 is an abundant number, since it is smaller than the sum of its proper divisors (593236520).

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

312419800 is a wasteful number, since it uses less digits than its factorization.

312419800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20321 (or 20312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 312419800 is about 17675.4009855505. The cubic root of 312419800 is about 678.5463468371.

It can be divided in two parts, 31241 and 9800, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 312419800 in words is "three hundred twelve million, four hundred nineteen thousand, eight hundred".