1461920 has 24 divisors (see below), whose sum is σ = 3454164. Its totient is φ = 584704.

The previous prime is 1461913. The next prime is 1461923. The reversal of 1461920 is 291641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1227664 + 234256 = 1108^2 + 484^2 .

It is not an unprimeable number, because it can be changed into a prime (1461923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4409 + ... + 4728.

2^1461920 is an apocalyptic number.

1461920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461920 is an abundant number, since it is smaller than the sum of its proper divisors (1992244).

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

1461920 is an equidigital number, since it uses as much as digits as its factorization.

1461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1461920 is about 1209.0988379781. The cubic root of 1461920 is about 113.4944268127.

The spelling of 1461920 in words is "one million, four hundred sixty-one thousand, nine hundred twenty".