864279405 has 72 divisors (see below), whose sum is σ = 1743703416. Its totient is φ = 394352640.

The previous prime is 864279397. The next prime is 864279413. The reversal of 864279405 is 504972468.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (864279397) and next prime (864279413).

It can be written as a sum of positive squares in 4 ways, for example, as 399920004 + 464359401 = 19998^2 + 21549^2 .

It is not a de Polignac number, because 864279405 - 2³ = 864279397 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87897 + ... + 97233.

It is an arithmetic number, because the mean of its divisors is an integer number (24218103).

Almost surely, 2^864279405 is an apocalyptic number.

864279405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

864279405 is an abundant number, since it is smaller than the sum of its proper divisors (879424011).

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

864279405 is a wasteful number, since it uses less digits than its factorization.

864279405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387 (or 9373 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 864279405 is about 29398.6293047822. The cubic root of 864279405 is about 952.5432885859.

The spelling of 864279405 in words is "eight hundred sixty-four million, two hundred seventy-nine thousand, four hundred five".