6457948 has 48 divisors (see below), whose sum is σ = 13888000. Its totient is φ = 2566080.

The previous prime is 6457939. The next prime is 6457949. The reversal of 6457948 is 8497546.

It is an Ulam number.

Its product of digits (241920) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6457949) 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, 32353 + ... + 32551.

Almost surely, 2^6457948 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 6457948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944000).

6457948 is an abundant number, since it is smaller than the sum of its proper divisors (7430052).

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

6457948 is a wasteful number, since it uses less digits than its factorization.

6457948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 6457948 is about 2541.2492990653. The cubic root of 6457948 is about 186.2222263888. Note that the first 5 decimals are identical.

The spelling of 6457948 in words is "six million, four hundred fifty-seven thousand, nine hundred forty-eight".