1461400 has 24 divisors (see below), whose sum is σ = 3398220. Its totient is φ = 584480.

The previous prime is 1461391. The next prime is 1461401. The reversal of 1461400 is 41641.

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 5 ways as a sum of consecutive naturals, for example, 3454 + ... + 3853.

2^1461400 is an apocalyptic number.

1461400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461400 is an abundant number, since it is smaller than the sum of its proper divisors (1936820).

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

1461400 is a wasteful number, since it uses less digits than its factorization.

1461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1461400 is about 1208.8837826690. The cubic root of 1461400 is about 113.4809686890.

The spelling of 1461400 in words is "one million, four hundred sixty-one thousand, four hundred".