6269472400 has 135 divisors (see below), whose sum is σ = 15626531739. Its totient is φ = 2417207040.

The previous prime is 6269472373. The next prime is 6269472403. The reversal of 6269472400 is 42749626.

The square root of 6269472400 is 79180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 595164816 + 5674307584 = 24396^2 + 75328^2 .

It is a super-3 number, since 3×6269472400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6269472403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58593147 + ... + 58593253.

Almost surely, 2^6269472400 is an apocalyptic number.

6269472400 is the 79180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6269472400

6269472400 is an abundant number, since it is smaller than the sum of its proper divisors (9357059339).

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

6269472400 is a wasteful number, since it uses less digits than its factorization.

6269472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The cubic root of 6269472400 is about 1843.9267509955.

The spelling of 6269472400 in words is "six billion, two hundred sixty-nine million, four hundred seventy-two thousand, four hundred".