673286400 has 162 divisors, whose sum is σ = 2407356770. Its totient is φ = 179527680.

The previous prime is 673286387. The next prime is 673286407. The reversal of 673286400 is 4682376.

673286400 is a `hidden beast` number, since 6 + 7 + 3 + 2 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 212926464 + 460359936 = 14592^2 + 21456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (673286407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51756 + ... + 63444.

Almost surely, 2^673286400 is an apocalyptic number.

673286400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203678385).

673286400 is an abundant number, since it is smaller than the sum of its proper divisors (1734070370).

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

673286400 is a wasteful number, since it uses less digits than its factorization.

673286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11721 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 673286400 is about 25947.7629093531. The cubic root of 673286400 is about 876.4623817802.

The spelling of 673286400 in words is "six hundred seventy-three million, two hundred eighty-six thousand, four hundred".