475212993408 has 192 divisors, whose sum is σ = 1434116736000. Its totient is φ = 150754120704.

The previous prime is 475212993371. The next prime is 475212993419. The reversal of 475212993408 is 804399212574.

475212993408 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 1 + 299 + 340 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 5227641 + ... + 5317767.

It is an arithmetic number, because the mean of its divisors is an integer number (7469358000).

Almost surely, 2^475212993408 is an apocalyptic number.

475212993408 is a gapful number since it is divisible by the number (48) 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 475212993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717058368000).

475212993408 is an abundant number, since it is smaller than the sum of its proper divisors (958903742592).

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

475212993408 is a wasteful number, since it uses less digits than its factorization.

475212993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90369 (or 90354 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 475212993408 in words is "four hundred seventy-five billion, two hundred twelve million, nine hundred ninety-three thousand, four hundred eight".