601489200 has 120 divisors (see below), whose sum is σ = 2075037328. Its totient is φ = 148055040.

The previous prime is 601489199. The next prime is 601489243. The reversal of 601489200 is 2984106.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3679 + ... + 34878.

Almost surely, 2^601489200 is an apocalyptic number.

601489200 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 601489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037518664).

601489200 is an abundant number, since it is smaller than the sum of its proper divisors (1473548128).

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

601489200 is a wasteful number, since it uses less digits than its factorization.

601489200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38591 (or 38580 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 601489200 is about 24525.2767568482. The cubic root of 601489200 is about 844.1298887417.

The spelling of 601489200 in words is "six hundred one million, four hundred eighty-nine thousand, two hundred".