601800408 has 256 divisors, whose sum is σ = 1978214400. Its totient is φ = 167454720.

The previous prime is 601800403. The next prime is 601800443. The reversal of 601800408 is 804008106.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601800403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1898266 + ... + 1898582.

It is an arithmetic number, because the mean of its divisors is an integer number (7727400).

Almost surely, 2^601800408 is an apocalyptic number.

601800408 is a gapful number since it is divisible by the number (68) 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 601800408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989107200).

601800408 is an abundant number, since it is smaller than the sum of its proper divisors (1376413992).

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

601800408 is a wasteful number, since it uses less digits than its factorization.

601800408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 601800408 is about 24531.6205742711. The cubic root of 601800408 is about 844.2754467339.

The spelling of 601800408 in words is "six hundred one million, eight hundred thousand, four hundred eight".