1461965620 has 24 divisors (see below), whose sum is σ = 3104627400. Its totient is φ = 578214912.

The previous prime is 1461965599. The next prime is 1461965647. The reversal of 1461965620 is 265691641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 330585124 + 1131380496 = 18182^2 + 33636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408885 + ... + 412444.

It is an arithmetic number, because the mean of its divisors is an integer number (129359475).

Almost surely, 2^1461965620 is an apocalyptic number.

1461965620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461965620 is an abundant number, since it is smaller than the sum of its proper divisors (1642661780).

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

1461965620 is a wasteful number, since it uses less digits than its factorization.

1461965620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821427 (or 821425 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1461965620 is about 38235.6590109285. The cubic root of 1461965620 is about 1134.9560735198.

The spelling of 1461965620 in words is "one billion, four hundred sixty-one million, nine hundred sixty-five thousand, six hundred twenty".