1461117200 has 60 divisors (see below), whose sum is σ = 3585068160. Its totient is φ = 572004480.

The previous prime is 1461117191. The next prime is 1461117209. The reversal of 1461117200 is 27111641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1461117191) and next prime (1461117209).

It is not an unprimeable number, because it can be changed into a prime (1461117209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20060 + ... + 57659.

It is an arithmetic number, because the mean of its divisors is an integer number (59751136).

Almost surely, 2^1461117200 is an apocalyptic number.

1461117200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461117200 is an abundant number, since it is smaller than the sum of its proper divisors (2123950960).

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

1461117200 is a wasteful number, since it uses less digits than its factorization.

1461117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77784 (or 77773 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1461117200 is about 38224.5627836343. The cubic root of 1461117200 is about 1134.7364819989.

Adding to 1461117200 its reverse (27111641), we get a palindrome (1488228841).

The spelling of 1461117200 in words is "one billion, four hundred sixty-one million, one hundred seventeen thousand, two hundred".