1455434800 has 60 divisors (see below), whose sum is σ = 3536057160. Its totient is φ = 575618560.

The previous prime is 1455434741. The next prime is 1455434801. The reversal of 1455434800 is 84345541.

It is not an unprimeable number, because it can be changed into a prime (1455434801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15159 + ... + 56041.

It is an arithmetic number, because the mean of its divisors is an integer number (58934286).

Almost surely, 2^1455434800 is an apocalyptic number.

1455434800 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 1455434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768028580).

1455434800 is an abundant number, since it is smaller than the sum of its proper divisors (2080622360).

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

1455434800 is a wasteful number, since it uses less digits than its factorization.

1455434800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40990 (or 40979 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 1455434800 is about 38150.1612054261. The cubic root of 1455434800 is about 1133.2635443377.

The spelling of 1455434800 in words is "one billion, four hundred fifty-five million, four hundred thirty-four thousand, eight hundred".