1453200 has 120 divisors (see below), whose sum is σ = 5350848. Its totient is φ = 330240.

The previous prime is 1453181. The next prime is 1453201. The reversal of 1453200 is 23541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1453200² = 4223580480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1453200.

It is not an unprimeable number, because it can be changed into a prime (1453201) 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, 8314 + ... + 8486.

2^1453200 is an apocalyptic number.

1453200 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 1453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675424).

1453200 is an abundant number, since it is smaller than the sum of its proper divisors (3897648).

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

1453200 is a wasteful number, since it uses less digits than its factorization.

1453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1453200 is about 1205.4874532736. The cubic root of 1453200 is about 113.2683210373.

Adding to 1453200 its reverse (23541), we get a palindrome (1476741).

It can be divided in two parts, 1453 and 200, that added together give a triangular number (1653 = T₅₇).

The spelling of 1453200 in words is "one million, four hundred fifty-three thousand, two hundred".