673709400 has 480 divisors, whose sum is σ = 2886169440. Its totient is φ = 141834240.

The previous prime is 673709383. The next prime is 673709401. The reversal of 673709400 is 4907376.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673709401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1473972 + ... + 1474428.

It is an arithmetic number, because the mean of its divisors is an integer number (6012853).

Almost surely, 2^673709400 is an apocalyptic number.

673709400 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 673709400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443084720).

673709400 is an abundant number, since it is smaller than the sum of its proper divisors (2212460040).

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

673709400 is a wasteful number, since it uses less digits than its factorization.

673709400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 673709400 is about 25955.9126212121. The cubic root of 673709400 is about 876.6458925780.

The spelling of 673709400 in words is "six hundred seventy-three million, seven hundred nine thousand, four hundred".