601489920 has 240 divisors, whose sum is σ = 2050190208. Its totient is φ = 150405120.

The previous prime is 601489883. The next prime is 601489921. The reversal of 601489920 is 29984106.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (601489921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219385 + ... + 2219655.

Almost surely, 2^601489920 is an apocalyptic number.

601489920 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 601489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025095104).

601489920 is an abundant number, since it is smaller than the sum of its proper divisors (1448700288).

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

601489920 is a wasteful number, since it uses less digits than its factorization.

601489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 601489920 is about 24525.2914355773. The cubic root of 601489920 is about 844.1302255576.

The spelling of 601489920 in words is "six hundred one million, four hundred eighty-nine thousand, nine hundred twenty".