842400312 has 64 divisors (see below), whose sum is σ = 2329330080. Its totient is φ = 252191232.

The previous prime is 842400263. The next prime is 842400329. The reversal of 842400312 is 213004248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24943 + ... + 48030.

Almost surely, 2^842400312 is an apocalyptic number.

It is an amenable number.

842400312 is an abundant number, since it is smaller than the sum of its proper divisors (1486929768).

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

842400312 is a wasteful number, since it uses less digits than its factorization.

842400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73032 (or 73028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 842400312 is about 29024.1332687128. The cubic root of 842400312 is about 944.4366665760.

The spelling of 842400312 in words is "eight hundred forty-two million, four hundred thousand, three hundred twelve".