1920400 has 30 divisors (see below), whose sum is σ = 4614722. Its totient is φ = 768000.

The previous prime is 1920397. The next prime is 1920403. The reversal of 1920400 is 40291.

It is an interprime number because it is at equal distance from previous prime (1920397) and next prime (1920403).

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 1763584 = 396^2 + 1328^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1920403) 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, 2001 + ... + 2800.

2^1920400 is an apocalyptic number.

1920400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1920400 is an abundant number, since it is smaller than the sum of its proper divisors (2694322).

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

1920400 is a wasteful number, since it uses less digits than its factorization.

1920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1920400 is about 1385.7849761056. The cubic root of 1920400 is about 124.2979308402.

Adding to 1920400 its reverse (40291), we get a palindrome (1960691).

The spelling of 1920400 in words is "one million, nine hundred twenty thousand, four hundred".