672400 has 45 divisors (see below), whose sum is σ = 1655803. Its totient is φ = 262400.

The previous prime is 672379. The next prime is 672439. The reversal of 672400 is 4276.

672400 = 1³ + 2³ + ... + 40³.

The square root of 672400 is 820.

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

672400 is nontrivially palindromic in base 9.

672400 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 389376 = 532^2 + 624^2 .

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16380 + ... + 16420.

2⁶⁷²⁴⁰⁰ is an apocalyptic number.

672400 is the 820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672400

672400 is an abundant number, since it is smaller than the sum of its proper divisors (983403).

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

672400 is a wasteful number, since it uses less digits than its factorization.

672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The cubic root of 672400 is about 87.6077583949.

Adding to 672400 its reverse (4276), we get a palindrome (676676).

The spelling of 672400 in words is "six hundred seventy-two thousand, four hundred".