601476480 has 288 divisors, whose sum is σ = 2285599680. Its totient is φ = 145643520.

The previous prime is 601476461. The next prime is 601476481. The reversal of 601476480 is 84674106.

601476480 is a `hidden beast` number, since 6 + 0 + 1 + 4 + 7 + 648 + 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 not an unprimeable number, because it can be changed into a prime (601476481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696529 + ... + 697391.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2^601476480 is an apocalyptic number.

601476480 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 601476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142799840).

601476480 is an abundant number, since it is smaller than the sum of its proper divisors (1684123200).

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

601476480 is a wasteful number, since it uses less digits than its factorization.

601476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 601476480 is about 24525.0174311865. The cubic root of 601476480 is about 844.1239382842.

The spelling of 601476480 in words is "six hundred one million, four hundred seventy-six thousand, four hundred eighty".