1742400 has 189 divisors, whose sum is σ = 6807073. Its totient is φ = 422400.

The previous prime is 1742393. The next prime is 1742401. The reversal of 1742400 is 42471.

It is a happy number.

The square root of 1742400 is 1320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 1115136 = 792^2 + 1056^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1742401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158395 + ... + 158405.

2^1742400 is an apocalyptic number.

1742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1742400 is the 1320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1742400

1742400 is an abundant number, since it is smaller than the sum of its proper divisors (5064673).

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

1742400 is a wasteful number, since it uses less digits than its factorization.

1742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The cubic root of 1742400 is about 120.3324116704.

Adding to 1742400 its reverse (42471), we get a palindrome (1784871).

The spelling of 1742400 in words is "one million, seven hundred forty-two thousand, four hundred".