474820145280 has 1536 divisors, whose sum is σ = 1919582945280. Its totient is φ = 107296358400.

The previous prime is 474820145279. The next prime is 474820145291. The reversal of 474820145280 is 82541028474.

474820145280 is a `hidden beast` number, since 4 + 7 + 482 + 0 + 145 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6687607645 + ... + 6687607715.

It is an arithmetic number, because the mean of its divisors is an integer number (1249728480).

Almost surely, 2^474820145280 is an apocalyptic number.

474820145280 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 474820145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959791472640).

474820145280 is an abundant number, since it is smaller than the sum of its proper divisors (1444762800000).

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

474820145280 is a wasteful number, since it uses less digits than its factorization.

474820145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 474820145280 in words is "four hundred seventy-four billion, eight hundred twenty million, one hundred forty-five thousand, two hundred eighty".