608400 has 135 divisors (see below), whose sum is σ = 2286219. Its totient is φ = 149760.

The previous prime is 608393. The next prime is 608401. The reversal of 608400 is 4806.

608400 = T₂₀₈ + T₂₀₉ + ... + T₂₃₂.

608400 = 1³ + 2³ + ... + 39³.

The square root of 608400 is 780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 451584 = 396^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (608401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46794 + ... + 46806.

2⁶⁰⁸⁴⁰⁰ is an apocalyptic number.

608400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

608400 is the 780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608400

608400 is an abundant number, since it is smaller than the sum of its proper divisors (1677819).

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

608400 is a wasteful number, since it uses less digits than its factorization.

608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 608400 is about 84.7350457860.

The spelling of 608400 in words is "six hundred eight thousand, four hundred".