1461214100 has 18 divisors (see below), whose sum is σ = 3170834814. Its totient is φ = 584485600.

The previous prime is 1461214049. The next prime is 1461214103. The reversal of 1461214100 is 14121641.

It can be written as a sum of positive squares in 3 ways, for example, as 486026116 + 975187984 = 22046^2 + 31228^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461214103) 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, 7305971 + ... + 7306170.

Almost surely, 2^1461214100 is an apocalyptic number.

1461214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461214100 is an abundant number, since it is smaller than the sum of its proper divisors (1709620714).

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

1461214100 is a wasteful number, since it uses less digits than its factorization.

1461214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612155 (or 14612148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1461214100 is about 38225.8302722125. The cubic root of 1461214100 is about 1134.7615663509.

Adding to 1461214100 its reverse (14121641), we get a palindrome (1475335741).

The spelling of 1461214100 in words is "one billion, four hundred sixty-one million, two hundred fourteen thousand, one hundred".