6459904 has 80 divisors (see below), whose sum is σ = 14927616. Its totient is φ = 2764800.

The previous prime is 6459899. The next prime is 6459907. The reversal of 6459904 is 4099546.

6459904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6459907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174574 + ... + 174610.

Almost surely, 2^6459904 is an apocalyptic number.

6459904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463808).

6459904 is an abundant number, since it is smaller than the sum of its proper divisors (8467712).

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

6459904 is a wasteful number, since it uses less digits than its factorization.

6459904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 6459904 is about 2541.6341200102. The cubic root of 6459904 is about 186.2410256475.

The spelling of 6459904 in words is "six million, four hundred fifty-nine thousand, nine hundred four".