470088496900 has 243 divisors, whose sum is σ = 1176469283829. Its totient is φ = 162905688000.

The previous prime is 470088496883. The next prime is 470088496919. The reversal of 470088496900 is 9694880074.

The square root of 470088496900 is 685630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 169231858884 + 300856638016 = 411378^2 + 548504^2 .

It is a super-2 number, since 2×470088496900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1734643765 + ... + 1734644035.

Almost surely, 2^470088496900 is an apocalyptic number.

470088496900 is the 685630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470088496900

470088496900 is an abundant number, since it is smaller than the sum of its proper divisors (706380786929).

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

470088496900 is a wasteful number, since it uses less digits than its factorization.

470088496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 470088496900 in words is "four hundred seventy billion, eighty-eight million, four hundred ninety-six thousand, nine hundred".