6483470400 has 567 divisors, whose sum is σ = 25751157159. Its totient is φ = 1545984000.

The previous prime is 6483470393. The next prime is 6483470473. The reversal of 6483470400 is 40743846.

The square root of 6483470400 is 80520.

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

6483470400 is a `hidden beast` number, since 648 + 3 + 4 + 7 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2986403904 + 3497066496 = 54648^2 + 59136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 106286370 + ... + 106286430.

Almost surely, 2^6483470400 is an apocalyptic number.

6483470400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6483470400 is the 80520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6483470400

6483470400 is an abundant number, since it is smaller than the sum of its proper divisors (19267686759).

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

6483470400 is a wasteful number, since it uses less digits than its factorization.

6483470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The cubic root of 6483470400 is about 1864.6722633018.

Multiplying 6483470400 by its sum of digits (36), we get a square (233404934400 = 483120²).

6483470400 divided by its sum of digits (36) gives a square (180096400 = 13420²).

The spelling of 6483470400 in words is "six billion, four hundred eighty-three million, four hundred seventy thousand, four hundred".