477356628100 has 135 divisors (see below), whose sum is σ = 1141442213205. Its totient is φ = 173280228000.

The previous prime is 477356628061. The next prime is 477356628103. The reversal of 477356628100 is 1826653774.

The square root of 477356628100 is 690910.

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., 171848386116 + 305508241984 = 414546^2 + 552728^2 .

It is a super-2 number, since 2×477356628100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (477356628103) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 836000815 + ... + 836001385.

Almost surely, 2^477356628100 is an apocalyptic number.

477356628100 is the 690910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477356628100

477356628100 is an abundant number, since it is smaller than the sum of its proper divisors (664085585105).

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

477356628100 is an frugal number, since it uses more digits than its factorization.

477356628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 477356628100 by its sum of digits (49), we get a square (23390474776900 = 4836370²).

The spelling of 477356628100 in words is "four hundred seventy-seven billion, three hundred fifty-six million, six hundred twenty-eight thousand, one hundred".