6405416292 has 48 divisors (see below), whose sum is σ = 16830664704. Its totient is φ = 1878420000.

The previous prime is 6405416273. The next prime is 6405416309. The reversal of 6405416292 is 2926145046.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6405416292.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778584 + ... + 786767.

It is an arithmetic number, because the mean of its divisors is an integer number (350638848).

Almost surely, 2^6405416292 is an apocalyptic number.

6405416292 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6405416292 is an abundant number, since it is smaller than the sum of its proper divisors (10425248412).

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

6405416292 is a wasteful number, since it uses less digits than its factorization.

6405416292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565400 (or 1565398 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6405416292 is about 80033.8446658662. The cubic root of 6405416292 is about 1857.1591399406.

The spelling of 6405416292 in words is "six billion, four hundred five million, four hundred sixteen thousand, two hundred ninety-two".