601408080 has 480 divisors, whose sum is σ = 2541337344. Its totient is φ = 124084224.

The previous prime is 601408037. The next prime is 601408109. The reversal of 601408080 is 80804106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4389772 + ... + 4389908.

Almost surely, 2^601408080 is an apocalyptic number.

601408080 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 601408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270668672).

601408080 is an abundant number, since it is smaller than the sum of its proper divisors (1939929264).

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

601408080 is a wasteful number, since it uses less digits than its factorization.

601408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

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

The square root of 601408080 is about 24523.6228971170. The cubic root of 601408080 is about 844.0919391021.

The spelling of 601408080 in words is "six hundred one million, four hundred eight thousand, eighty".