6413792 has 96 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 2350080.

The previous prime is 6413789. The next prime is 6413801. The reversal of 6413792 is 2973146.

It is a super-2 number, since 2×6413792² = 82273455638528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 6² + 4⁸ + 1 + 3¹⁰ + 7⁸ + 9² + 2¹⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46748 + ... + 46884.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 2^6413792 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 6413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346240).

6413792 is an abundant number, since it is smaller than the sum of its proper divisors (10278688).

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

6413792 is a wasteful number, since it uses less digits than its factorization.

6413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 6413792 is about 2532.5465444884. The cubic root of 6413792 is about 185.7968259753.

The spelling of 6413792 in words is "six million, four hundred thirteen thousand, seven hundred ninety-two".