1475328100 has 81 divisors (see below), whose sum is σ = 3366868057. Its totient is φ = 561093280.

The previous prime is 1475328089. The next prime is 1475328181. The reversal of 1475328100 is 18235741.

The square root of 1475328100 is 38410.

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., 531118116 + 944209984 = 23046^2 + 30728^2 .

It is a super-2 number, since 2×1475328100² = 4353186005299220000, which contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 8834217 + ... + 8834383.

Almost surely, 2^1475328100 is an apocalyptic number.

1475328100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1475328100 is the 38410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1475328100

1475328100 is an abundant number, since it is smaller than the sum of its proper divisors (1891539957).

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

1475328100 is a wasteful number, since it uses less digits than its factorization.

1475328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 1475328100 is about 1138.4034540448.

The spelling of 1475328100 in words is "one billion, four hundred seventy-five million, three hundred twenty-eight thousand, one hundred".