6457000 has 64 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 2344000.

The previous prime is 6456977. The next prime is 6457007. The reversal of 6457000 is 7546.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (6457007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10707 + ... + 11293.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^6457000 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 6457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

6457000 is an abundant number, since it is smaller than the sum of its proper divisors (10054040).

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

6457000 is a wasteful number, since it uses less digits than its factorization.

6457000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 6457000 is about 2541.0627697875. The cubic root of 6457000 is about 186.2131137258.

The spelling of 6457000 in words is "six million, four hundred fifty-seven thousand".