1461320600 has 96 divisors (see below), whose sum is σ = 3493585920. Its totient is φ = 568149120.

The previous prime is 1461320573. The next prime is 1461320603. The reversal of 1461320600 is 60231641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461320603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3155969 + ... + 3156431.

It is an arithmetic number, because the mean of its divisors is an integer number (36391520).

Almost surely, 2^1461320600 is an apocalyptic number.

1461320600 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 1461320600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746792960).

1461320600 is an abundant number, since it is smaller than the sum of its proper divisors (2032265320).

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

1461320600 is a wasteful number, since it uses less digits than its factorization.

1461320600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1461320600 is about 38227.2232839373. The cubic root of 1461320600 is about 1134.7891345608.

The spelling of 1461320600 in words is "one billion, four hundred sixty-one million, three hundred twenty thousand, six hundred".