1461000 has 64 divisors (see below), whose sum is σ = 4567680. Its totient is φ = 388800.

The previous prime is 1460993. The next prime is 1461001. The reversal of 1461000 is 1641.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461001) 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, 2757 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (71370).

2^1461000 is an apocalyptic number.

1461000 is a gapful number since it is divisible by the number (10) 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 1461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283840).

1461000 is an abundant number, since it is smaller than the sum of its proper divisors (3106680).

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

1461000 is a wasteful number, since it uses less digits than its factorization.

1461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1461000 is about 1208.7183294713. The cubic root of 1461000 is about 113.4706141136.

Adding to 1461000 its reverse (1641), we get a palindrome (1462641).

The spelling of 1461000 in words is "one million, four hundred sixty-one thousand".