6407730 has 72 divisors (see below), whose sum is σ = 19393452. Its totient is φ = 1463616.

The previous prime is 6407701. The next prime is 6407741. The reversal of 6407730 is 377046.

6407730 = T₉₅ + T₉₆ + ... + T₃₃₉.

It can be written as a sum of positive squares in 2 ways, for example, as 6036849 + 370881 = 2457^2 + 609^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6407694 and 6407703.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3684 + ... + 5136.

Almost surely, 2^6407730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696726).

6407730 is an abundant number, since it is smaller than the sum of its proper divisors (12985722).

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

6407730 is a wasteful number, since it uses less digits than its factorization.

6407730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 6407730 is about 2531.3494424911. The cubic root of 6407730 is about 185.7382721906.

The spelling of 6407730 in words is "six million, four hundred seven thousand, seven hundred thirty".