1455213200 has 120 divisors (see below), whose sum is σ = 4055758272. Its totient is φ = 491420160.

The previous prime is 1455213169. The next prime is 1455213203. The reversal of 1455213200 is 23125541.

It is not an unprimeable number, because it can be changed into a prime (1455213203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183722 + ... + 191478.

Almost surely, 2^1455213200 is an apocalyptic number.

1455213200 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 1455213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027879136).

1455213200 is an abundant number, since it is smaller than the sum of its proper divisors (2600545072).

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

1455213200 is a wasteful number, since it uses less digits than its factorization.

1455213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1455213200 is about 38147.2567821069. The cubic root of 1455213200 is about 1133.2060256847.

Adding to 1455213200 its reverse (23125541), we get a palindrome (1478338741).

The spelling of 1455213200 in words is "one billion, four hundred fifty-five million, two hundred thirteen thousand, two hundred".