1415233200 has 120 divisors (see below), whose sum is σ = 4639062208. Its totient is φ = 368605440.

The previous prime is 1415233163. The next prime is 1415233213. The reversal of 1415233200 is 23325141.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37887 + ... + 65313.

Almost surely, 2^1415233200 is an apocalyptic number.

1415233200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319531104).

1415233200 is an abundant number, since it is smaller than the sum of its proper divisors (3223829008).

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

1415233200 is a wasteful number, since it uses less digits than its factorization.

1415233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27491 (or 27480 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1415233200 is about 37619.5853246683. The cubic root of 1415233200 is about 1122.7317458100.

Adding to 1415233200 its reverse (23325141), we get a palindrome (1438558341).

The spelling of 1415233200 in words is "one billion, four hundred fifteen million, two hundred thirty-three thousand, two hundred".