1461404 has 48 divisors (see below), whose sum is σ = 3198720. Its totient is φ = 570240.

The previous prime is 1461403. The next prime is 1461407. The reversal of 1461404 is 4041641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21779 + ... + 21845.

It is an arithmetic number, because the mean of its divisors is an integer number (66640).

2^1461404 is an apocalyptic number.

1461404 is a gapful number since it is divisible by the number (14) 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 1461404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599360).

1461404 is an abundant number, since it is smaller than the sum of its proper divisors (1737316).

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

1461404 is a wasteful number, since it uses less digits than its factorization.

1461404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1461404 is about 1208.8854370866. The cubic root of 1461404 is about 113.4810722252.

The spelling of 1461404 in words is "one million, four hundred sixty-one thousand, four hundred four".