1461648820 has 24 divisors (see below), whose sum is σ = 3074148000. Its totient is φ = 583767072.

The previous prime is 1461648737. The next prime is 1461648829. The reversal of 1461648820 is 288461641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461648829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42270 + ... + 68629.

It is an arithmetic number, because the mean of its divisors is an integer number (128089500).

Almost surely, 2^1461648820 is an apocalyptic number.

1461648820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461648820 is an abundant number, since it is smaller than the sum of its proper divisors (1612499180).

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

1461648820 is a wasteful number, since it uses less digits than its factorization.

1461648820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111567 (or 111565 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 1461648820 is about 38231.5160567823. The cubic root of 1461648820 is about 1134.8740879944.

It can be divided in two parts, 14616 and 48820, that added together give a palindrome (63436).

The spelling of 1461648820 in words is "one billion, four hundred sixty-one million, six hundred forty-eight thousand, eight hundred twenty".