1455141200 has 60 divisors (see below), whose sum is σ = 3502372188. Its totient is φ = 580992000.

The previous prime is 1455141187. The next prime is 1455141229. The reversal of 1455141200 is 21415541.

It can be written as a sum of positive squares in 6 ways, for example, as 63552784 + 1391588416 = 7972^2 + 37304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237374 + ... + 243426.

Almost surely, 2^1455141200 is an apocalyptic number.

1455141200 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 1455141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751186094).

1455141200 is an abundant number, since it is smaller than the sum of its proper divisors (2047230988).

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

1455141200 is a wasteful number, since it uses less digits than its factorization.

1455141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 1455141200 is about 38146.3130590625. The cubic root of 1455141200 is about 1133.1873360568.

Adding to 1455141200 its reverse (21415541), we get a palindrome (1476556741).

The spelling of 1455141200 in words is "one billion, four hundred fifty-five million, one hundred forty-one thousand, two hundred".