1455200 has 72 divisors (see below), whose sum is σ = 3796632. Its totient is φ = 542720.

The previous prime is 1455199. The next prime is 1455203. The reversal of 1455200 is 25541.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455203) 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, 13547 + ... + 13653.

It is an arithmetic number, because the mean of its divisors is an integer number (52731).

2^1455200 is an apocalyptic number.

1455200 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 1455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898316).

1455200 is an abundant number, since it is smaller than the sum of its proper divisors (2341432).

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

1455200 is a wasteful number, since it uses less digits than its factorization.

1455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 1455200 is about 1206.3167080000. The cubic root of 1455200 is about 113.3202599299.

The spelling of 1455200 in words is "one million, four hundred fifty-five thousand, two hundred".