1461792 has 24 divisors (see below), whose sum is σ = 3837456. Its totient is φ = 487232.

The previous prime is 1461791. The next prime is 1461797. The reversal of 1461792 is 2971641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1461791) 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, 7518 + ... + 7709.

It is an arithmetic number, because the mean of its divisors is an integer number (159894).

2^1461792 is an apocalyptic number.

1461792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1461792 is an abundant number, since it is smaller than the sum of its proper divisors (2375664).

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

1461792 is a wasteful number, since it uses less digits than its factorization.

1461792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240 (or 15232 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 1461792 is about 1209.0459048357. The cubic root of 1461792 is about 113.4911143399.

The spelling of 1461792 in words is "one million, four hundred sixty-one thousand, seven hundred ninety-two".