646461312 has 384 divisors, whose sum is σ = 2210250240. Its totient is φ = 166182912.

The previous prime is 646461311. The next prime is 646461313. The reversal of 646461312 is 213164646.

It is an interprime number because it is at equal distance from previous prime (646461311) and next prime (646461313).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×646461312² = 835824455825522688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646461311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13754473 + ... + 13754519.

It is an arithmetic number, because the mean of its divisors is an integer number (5755860).

Almost surely, 2^646461312 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 646461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105125120).

646461312 is an abundant number, since it is smaller than the sum of its proper divisors (1563788928).

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

646461312 is a wasteful number, since it uses less digits than its factorization.

646461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 646461312 is about 25425.6034736641. The cubic root of 646461312 is about 864.6642696795.

It can be divided in two parts, 6464 and 61312, that added together give a palindrome (67776).

The spelling of 646461312 in words is "six hundred forty-six million, four hundred sixty-one thousand, three hundred twelve".