470506408732800 has 1920 divisors, whose sum is σ = 1900687749240000. Its totient is φ = 113666258534400.

The previous prime is 470506408732793. The next prime is 470506408732837. The reversal of 470506408732800 is 8237804605074.

470506408732800 is a `hidden beast` number, since 4 + 7 + 0 + 506 + 40 + 8 + 73 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×470506408732800² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 547737378771 + ... + 547737379629.

Almost surely, 2^{470506408732800} is an apocalyptic number.

470506408732800 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 470506408732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950343874620000).

470506408732800 is an abundant number, since it is smaller than the sum of its proper divisors (1430181340507200).

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

470506408732800 is an equidigital number, since it uses as much as digits as its factorization.

470506408732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 470506408732800 in words is "four hundred seventy trillion, five hundred six billion, four hundred eight million, seven hundred thirty-two thousand, eight hundred".