474883456320 has 1680 divisors, whose sum is σ = 2215892878848. Its totient is φ = 94197841920.

The previous prime is 474883456253. The next prime is 474883456339. The reversal of 474883456320 is 23654388474.

474883456320 is a `hidden beast` number, since 4 + 7 + 48 + 8 + 34 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 521276665 + ... + 521277575.

Almost surely, 2^474883456320 is an apocalyptic number.

474883456320 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 474883456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107946439424).

474883456320 is an abundant number, since it is smaller than the sum of its proper divisors (1741009422528).

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

474883456320 is a wasteful number, since it uses less digits than its factorization.

474883456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 474883456320 in words is "four hundred seventy-four billion, eight hundred eighty-three million, four hundred fifty-six thousand, three hundred twenty".