601584480 has 288 divisors, whose sum is σ = 2411083584. Its totient is φ = 133705728.

The previous prime is 601584469. The next prime is 601584539. The reversal of 601584480 is 84485106.

601584480 is a `hidden beast` number, since 60 + 158 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372154 + ... + 373766.

It is an arithmetic number, because the mean of its divisors is an integer number (8371818).

Almost surely, 2^601584480 is an apocalyptic number.

601584480 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 601584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205541792).

601584480 is an abundant number, since it is smaller than the sum of its proper divisors (1809499104).

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

601584480 is a wasteful number, since it uses less digits than its factorization.

601584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 601584480 is about 24527.2191656535. The cubic root of 601584480 is about 844.1744583696.

The spelling of 601584480 in words is "six hundred one million, five hundred eighty-four thousand, four hundred eighty".