1461940 has 24 divisors (see below), whose sum is σ = 3118752. Its totient is φ = 575520.

The previous prime is 1461931. The next prime is 1461953. The reversal of 1461940 is 491641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795 + ... + 1885.

It is an arithmetic number, because the mean of its divisors is an integer number (129948).

2^1461940 is an apocalyptic number.

1461940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461940 is an abundant number, since it is smaller than the sum of its proper divisors (1656812).

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

1461940 is a wasteful number, since it uses less digits than its factorization.

1461940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1461940 is about 1209.1071085723. The cubic root of 1461940 is about 113.4949443691.

Subtracting from 1461940 its reverse (491641), we obtain a cube (970299 = 99³).

It can be divided in two parts, 1461 and 940, that added together give a 4-th power (2401 = 7⁴).

The spelling of 1461940 in words is "one million, four hundred sixty-one thousand, nine hundred forty".