1461150 has 72 divisors (see below), whose sum is σ = 4178304. Its totient is φ = 364800.

The previous prime is 1461139. The next prime is 1461151. The reversal of 1461150 is 511641.

1461150 is a `hidden beast` number, since 1 + 4 + 611 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7555 + ... + 7745.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2^1461150 is an apocalyptic number.

1461150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152).

1461150 is an abundant number, since it is smaller than the sum of its proper divisors (2717154).

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

1461150 is a wasteful number, since it uses less digits than its factorization.

1461150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1461150 is about 1208.7803770743. The cubic root of 1461150 is about 113.4744973008.

Adding to 1461150 its reverse (511641), we get a palindrome (1972791).

It can be divided in two parts, 146 and 1150, that added together give a 4-th power (1296 = 6⁴).

The spelling of 1461150 in words is "one million, four hundred sixty-one thousand, one hundred fifty".