1455442400 has 72 divisors (see below), whose sum is σ = 3567427920. Its totient is φ = 579829760.

The previous prime is 1455442399. The next prime is 1455442409. The reversal of 1455442400 is 42445541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455442409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202061 + ... + 209139.

It is an arithmetic number, because the mean of its divisors is an integer number (49547610).

Almost surely, 2^1455442400 is an apocalyptic number.

1455442400 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 1455442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783713960).

1455442400 is an abundant number, since it is smaller than the sum of its proper divisors (2111985520).

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

1455442400 is a wasteful number, since it uses less digits than its factorization.

1455442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 1455442400 is about 38150.2608116904. The cubic root of 1455442400 is about 1133.2655168956.

Adding to 1455442400 its reverse (42445541), we get a palindrome (1497887941).

The spelling of 1455442400 in words is "one billion, four hundred fifty-five million, four hundred forty-two thousand, four hundred".