6456380 has 48 divisors (see below), whose sum is σ = 15676416. Its totient is φ = 2187840.

The previous prime is 6456367. The next prime is 6456383. The reversal of 6456380 is 836546.

6456380 = T₂₃₁ + T₂₃₂ + ... + T₃₇₀.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456383) 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, 14765 + ... + 15195.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 2^6456380 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 6456380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208).

6456380 is an abundant number, since it is smaller than the sum of its proper divisors (9220036).

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

6456380 is a wasteful number, since it uses less digits than its factorization.

6456380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 6456380 is about 2540.9407706596. The cubic root of 6456380 is about 186.2071534850.

The spelling of 6456380 in words is "six million, four hundred fifty-six thousand, three hundred eighty".