6472100 has 36 divisors (see below), whose sum is σ = 14288148. Its totient is φ = 2544000.

The previous prime is 6472099. The next prime is 6472111. The reversal of 6472100 is 12746.

It can be written as a sum of positive squares in 6 ways, for example, as 817216 + 5654884 = 904^2 + 2378^2 .

It is a super-4 number, since 4×6472100⁴ (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5570 + ... + 6630.

It is an arithmetic number, because the mean of its divisors is an integer number (396893).

Almost surely, 2^6472100 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 6472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144074).

6472100 is an abundant number, since it is smaller than the sum of its proper divisors (7816048).

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

6472100 is a wasteful number, since it uses less digits than its factorization.

6472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 6472100 is about 2544.0322325002. The cubic root of 6472100 is about 186.3581567801.

Adding to 6472100 its reverse (12746), we get a palindrome (6484846).

The spelling of 6472100 in words is "six million, four hundred seventy-two thousand, one hundred".