6457400 has 48 divisors (see below), whose sum is σ = 15233400. Its totient is φ = 2545280.

The previous prime is 6457391. The next prime is 6457417. The reversal of 6457400 is 47546.

It is a self number, because there is not a number n which added to its sum of digits gives 6457400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16406 + ... + 16794.

Almost surely, 2^6457400 is an apocalyptic number.

6457400 is the 2075-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616700).

6457400 is an abundant number, since it is smaller than the sum of its proper divisors (8776000).

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

6457400 is a wasteful number, since it uses less digits than its factorization.

6457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 6457400 is about 2541.1414757939. The cubic root of 6457400 is about 186.2169588401.

The spelling of 6457400 in words is "six million, four hundred fifty-seven thousand, four hundred".