1809413200 has 90 divisors (see below), whose sum is σ = 5056903086. Its totient is φ = 620363520.

The previous prime is 1809413147. The next prime is 1809413201. The reversal of 1809413200 is 23149081.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 363588624 + 1445824576 = 19068^2 + 38024^2 .

It is a super-2 number, since 2×1809413200² = 6547952256668480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809413201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26559 + ... + 65758.

Almost surely, 2^1809413200 is an apocalyptic number.

1809413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1809413200 is an abundant number, since it is smaller than the sum of its proper divisors (3247489886).

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

1809413200 is a wasteful number, since it uses less digits than its factorization.

1809413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92349 (or 92331 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1809413200 is about 42537.1978390679. The cubic root of 1809413200 is about 1218.5571943081.

The spelling of 1809413200 in words is "one billion, eight hundred nine million, four hundred thirteen thousand, two hundred".