601406400 has 252 divisors, whose sum is σ = 2296152888. Its totient is φ = 137410560.

The previous prime is 601406389. The next prime is 601406431. The reversal of 601406400 is 4604106.

601406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233922 + ... + 236478.

Almost surely, 2^601406400 is an apocalyptic number.

601406400 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 601406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148076444).

601406400 is an abundant number, since it is smaller than the sum of its proper divisors (1694746488).

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

601406400 is a wasteful number, since it uses less digits than its factorization.

601406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 601406400 is about 24523.5886444052. The cubic root of 601406400 is about 844.0911531268.

The spelling of 601406400 in words is "six hundred one million, four hundred six thousand, four hundred".