673382400 has 204 divisors, whose sum is σ = 2242886952. Its totient is φ = 178257920.

The previous prime is 673382387. The next prime is 673382419. The reversal of 673382400 is 4283376.

It is a super-3 number, since 3×673382400³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4915132 + ... + 4915268.

Almost surely, 2^673382400 is an apocalyptic number.

673382400 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 673382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121443476).

673382400 is an abundant number, since it is smaller than the sum of its proper divisors (1569504552).

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

673382400 is an equidigital number, since it uses as much as digits as its factorization.

673382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 673382400 is about 25949.6127138730. The cubic root of 673382400 is about 876.5040363618.

The spelling of 673382400 in words is "six hundred seventy-three million, three hundred eighty-two thousand, four hundred".