474612480 has 288 divisors, whose sum is σ = 1742469120. Its totient is φ = 122204160.

The previous prime is 474612401. The next prime is 474612491. The reversal of 474612480 is 84216474.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071139 + ... + 1071581.

It is an arithmetic number, because the mean of its divisors is an integer number (6050240).

Almost surely, 2^474612480 is an apocalyptic number.

474612480 is a gapful number since it is divisible by the number (40) 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 474612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871234560).

474612480 is an abundant number, since it is smaller than the sum of its proper divisors (1267856640).

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

474612480 is a wasteful number, since it uses less digits than its factorization.

474612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 474612480 is about 21785.6025851937. The cubic root of 474612480 is about 780.0331346871.

The spelling of 474612480 in words is "four hundred seventy-four million, six hundred twelve thousand, four hundred eighty".