1005400312 has 32 divisors (see below), whose sum is σ = 2200273920. Its totient is φ = 421716960.

The previous prime is 1005400309. The next prime is 1005400313. The reversal of 1005400312 is 2130045001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005400313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188364 + ... + 193627.

It is an arithmetic number, because the mean of its divisors is an integer number (68758560).

Almost surely, 2^1005400312 is an apocalyptic number.

It is an amenable number.

1005400312 is an abundant number, since it is smaller than the sum of its proper divisors (1194873608).

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

1005400312 is a wasteful number, since it uses less digits than its factorization.

1005400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382051 (or 382047 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1005400312 is about 31708.0480635437. The cubic root of 1005400312 is about 1001.7968733124.

Adding to 1005400312 its reverse (2130045001), we get a palindrome (3135445313).

The spelling of 1005400312 in words is "one billion, five million, four hundred thousand, three hundred twelve".