1465961652 has 72 divisors (see below), whose sum is σ = 3852576000. Its totient is φ = 487420416.

The previous prime is 1465961647. The next prime is 1465961659. The reversal of 1465961652 is 2561695641.

1465961652 is a `hidden beast` number, since 1 + 4 + 6 + 596 + 1 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1465961598 and 1465961607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1465961659) 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, 434749 + ... + 438107.

It is an arithmetic number, because the mean of its divisors is an integer number (53508000).

Almost surely, 2^1465961652 is an apocalyptic number.

1465961652 is a gapful number since it is divisible by the number (12) 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 1465961652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926288000).

1465961652 is an abundant number, since it is smaller than the sum of its proper divisors (2386614348).

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

1465961652 is a wasteful number, since it uses less digits than its factorization.

1465961652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3813 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 1465961652 is about 38287.8786563058. The cubic root of 1465961652 is about 1135.9892019819.

The spelling of 1465961652 in words is "one billion, four hundred sixty-five million, nine hundred sixty-one thousand, six hundred fifty-two".