478352056900 has 27 divisors (see below), whose sum is σ = 1038038972061. Its totient is φ = 191338056240.

The previous prime is 478352056807. The next prime is 478352056901. The reversal of 478352056900 is 9650253874.

The square root of 478352056900 is 691630.

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., 172206740484 + 306145316416 = 414978^2 + 553304^2 .

It is a super-2 number, since 2×478352056900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (478352056901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6881719 + ... + 6950881.

Almost surely, 2^478352056900 is an apocalyptic number.

478352056900 is the 691630-th square number.

It is an amenable number.

478352056900 is an abundant number, since it is smaller than the sum of its proper divisors (559686915161).

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

478352056900 is an frugal number, since it uses more digits than its factorization.

478352056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138340 (or 69170 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 478352056900 by its sum of digits (49), we get a square (23439250788100 = 4841410²).

The spelling of 478352056900 in words is "four hundred seventy-eight billion, three hundred fifty-two million, fifty-six thousand, nine hundred".