1461773130 has 64 divisors (see below), whose sum is σ = 3634848000. Its totient is φ = 375782400.

The previous prime is 1461773029. The next prime is 1461773141. The reversal of 1461773130 is 313771641.

It is a junction number, because it is equal to n+sod(n) for n = 1461773091 and 1461773100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044171 + ... + 1045569.

It is an arithmetic number, because the mean of its divisors is an integer number (56794500).

Almost surely, 2^1461773130 is an apocalyptic number.

1461773130 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 1461773130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817424000).

1461773130 is an abundant number, since it is smaller than the sum of its proper divisors (2173074870).

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

1461773130 is a wasteful number, since it uses less digits than its factorization.

1461773130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1461773130 is about 38233.1417751667. The cubic root of 1461773130 is about 1134.9062599262.

The spelling of 1461773130 in words is "one billion, four hundred sixty-one million, seven hundred seventy-three thousand, one hundred thirty".