673142400 has 720 divisors, whose sum is σ = 2944122390. Its totient is φ = 150958080.

The previous prime is 673142383. The next prime is 673142419. The reversal of 673142400 is 4241376.

It can be written as a sum of positive squares in 3 ways, for example, as 561121344 + 112021056 = 23688^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700774 + ... + 12700826.

Almost surely, 2^673142400 is an apocalyptic number.

673142400 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 673142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472061195).

673142400 is an abundant number, since it is smaller than the sum of its proper divisors (2270979990).

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

673142400 is a wasteful number, since it uses less digits than its factorization.

673142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 673142400 is about 25944.9879552872. The cubic root of 673142400 is about 876.3998924830.

Adding to 673142400 its reverse (4241376), we get a palindrome (677383776).

The spelling of 673142400 in words is "six hundred seventy-three million, one hundred forty-two thousand, four hundred".