474228256320 has 1008 divisors, whose sum is σ = 2132449562880. Its totient is φ = 95698132992.

The previous prime is 474228256301. The next prime is 474228256321. The reversal of 474228256320 is 23652822474.

474228256320 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 2 + 8 + 2 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (474228256321) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 42189261 + ... + 42200499.

It is an arithmetic number, because the mean of its divisors is an integer number (2115525360).

Almost surely, 2^474228256320 is an apocalyptic number.

474228256320 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 474228256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066224781440).

474228256320 is an abundant number, since it is smaller than the sum of its proper divisors (1658221306560).

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

474228256320 is a wasteful number, since it uses less digits than its factorization.

474228256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 474228256320 in words is "four hundred seventy-four billion, two hundred twenty-eight million, two hundred fifty-six thousand, three hundred twenty".