1461434100 has 144 divisors (see below), whose sum is σ = 4847606400. Its totient is φ = 332997120.

The previous prime is 1461434089. The next prime is 1461434101. The reversal of 1461434100 is 14341641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461434101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816006 + ... + 817794.

Almost surely, 2^1461434100 is an apocalyptic number.

1461434100 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 1461434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423803200).

1461434100 is an abundant number, since it is smaller than the sum of its proper divisors (3386172300).

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

1461434100 is a wasteful number, since it uses less digits than its factorization.

1461434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1461434100 is about 38228.7077992443. The cubic root of 1461434100 is about 1134.8185132913.

Adding to 1461434100 its reverse (14341641), we get a palindrome (1475775741).

The spelling of 1461434100 in words is "one billion, four hundred sixty-one million, four hundred thirty-four thousand, one hundred".