6472900 has 54 divisors (see below), whose sum is σ = 16351818. Its totient is φ = 2217600.

The previous prime is 6472877. The next prime is 6472909. The reversal of 6472900 is 92746.

6472900 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 1517824 + 4955076 = 1232^2 + 2226^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6472909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4240 + ... + 5560.

Almost surely, 2^6472900 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 6472900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175909).

6472900 is an abundant number, since it is smaller than the sum of its proper divisors (9878918).

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

6472900 is a wasteful number, since it uses less digits than its factorization.

6472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 6472900 is about 2544.1894583541. The cubic root of 6472900 is about 186.3658348847.

It can be divided in two parts, 64 and 72900, that multiplied together give a square (4665600 = 2160²).

The spelling of 6472900 in words is "six million, four hundred seventy-two thousand, nine hundred".