1492200 has 72 divisors (see below), whose sum is σ = 5017350. Its totient is φ = 397440.

The previous prime is 1492189. The next prime is 1492201. The reversal of 1492200 is 22941.

It can be written as a sum of positive squares in 3 ways, for example, as 1153476 + 338724 = 1074^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1492201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1386 + ... + 2214.

2^1492200 is an apocalyptic number.

1492200 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 1492200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508675).

1492200 is an abundant number, since it is smaller than the sum of its proper divisors (3525150).

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

1492200 is a wasteful number, since it uses less digits than its factorization.

1492200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1492200 is about 1221.5563842901. The cubic root of 1492200 is about 114.2726621999.

The spelling of 1492200 in words is "one million, four hundred ninety-two thousand, two hundred".