474808007520 has 576 divisors, whose sum is σ = 2087601707520. Its totient is φ = 98660643840.

The previous prime is 474808007519. The next prime is 474808007539. The reversal of 474808007520 is 25700808474.

474808007520 is a `hidden beast` number, since 4 + 7 + 48 + 0 + 80 + 0 + 7 + 520 = 666.

It is a super-2 number, since 2×474808007520² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3594159 + ... + 3723921.

It is an arithmetic number, because the mean of its divisors is an integer number (3624308520).

Almost surely, 2^474808007520 is an apocalyptic number.

474808007520 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 474808007520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043800853760).

474808007520 is an abundant number, since it is smaller than the sum of its proper divisors (1612793700000).

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

474808007520 is a wasteful number, since it uses less digits than its factorization.

474808007520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129816 (or 129791 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 474808007520 in words is "four hundred seventy-four billion, eight hundred eight million, seven thousand, five hundred twenty".