1974400 has 48 divisors (see below), whose sum is σ = 4885290. Its totient is φ = 788480.

The previous prime is 1974391. The next prime is 1974403. The reversal of 1974400 is 44791.

It can be written as a sum of positive squares in 3 ways, for example, as 876096 + 1098304 = 936^2 + 1048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1974403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2892 + ... + 3508.

2^1974400 is an apocalyptic number.

1974400 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 1974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442645).

1974400 is an abundant number, since it is smaller than the sum of its proper divisors (2910890).

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

1974400 is an equidigital number, since it uses as much as digits as its factorization.

1974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1974400 is about 1405.1334456200. The cubic root of 1974400 is about 125.4522286079.

The spelling of 1974400 in words is "one million, nine hundred seventy-four thousand, four hundred".