1047816900 has 243 divisors, whose sum is σ = 3599762439. Its totient is φ = 254816640.

The previous prime is 1047816877. The next prime is 1047816907. The reversal of 1047816900 is 96187401.

The square root of 1047816900 is 32370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 270076356 + 777740544 = 16434^2 + 27888^2 .

It is a super-2 number, since 2×1047816900² = 2195840511851220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1047816907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12624259 + ... + 12624341.

Almost surely, 2^1047816900 is an apocalyptic number.

1047816900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1047816900 is the 32370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047816900

1047816900 is an abundant number, since it is smaller than the sum of its proper divisors (2551945539).

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

1047816900 is a wasteful number, since it uses less digits than its factorization.

1047816900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 1047816900 is about 1015.6914569847.

Multiplying 1047816900 by its sum of digits (36), we get a square (37721408400 = 194220²).

1047816900 divided by its sum of digits (36) gives a square (29106025 = 5395²).

The spelling of 1047816900 in words is "one billion, forty-seven million, eight hundred sixteen thousand, nine hundred".