6457416 has 144 divisors (see below), whose sum is σ = 20998800. Its totient is φ = 1645056.

The previous prime is 6457391. The next prime is 6457417. The reversal of 6457416 is 6147546.

Its product of digits (20160) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6457417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339855 + ... + 339873.

It is an arithmetic number, because the mean of its divisors is an integer number (145825).

Almost surely, 2^6457416 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 6457416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499400).

6457416 is an abundant number, since it is smaller than the sum of its proper divisors (14541384).

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

6457416 is a wasteful number, since it uses less digits than its factorization.

6457416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 6457416 is about 2541.1446239835. The cubic root of 6457416 is about 186.2171126413.

The spelling of 6457416 in words is "six million, four hundred fifty-seven thousand, four hundred sixteen".