6407130 has 48 divisors (see below), whose sum is σ = 16356960. Its totient is φ = 1605888.

The previous prime is 6407119. The next prime is 6407131. The reversal of 6407130 is 317046.

6407130 = 1130² + 1131² + ... + 1134².

6407130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6407130³ (a number of 21 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6407097 and 6407106.

It is not an unprimeable number, because it can be changed into a prime (6407131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8301 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (340770).

Almost surely, 2^6407130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178480).

6407130 is an abundant number, since it is smaller than the sum of its proper divisors (9949830).

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

6407130 is a wasteful number, since it uses less digits than its factorization.

6407130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 6407130 is about 2531.2309258541. The cubic root of 6407130 is about 185.7324746907.

The spelling of 6407130 in words is "six million, four hundred seven thousand, one hundred thirty".