1461952864 has 72 divisors (see below), whose sum is σ = 3056077080. Its totient is φ = 688224768.

The previous prime is 1461952847. The next prime is 1461952871. The reversal of 1461952864 is 4682591641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1133532 + ... + 1134820.

It is an arithmetic number, because the mean of its divisors is an integer number (42445515).

Almost surely, 2^1461952864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528038540).

1461952864 is an abundant number, since it is smaller than the sum of its proper divisors (1594124216).

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

1461952864 is a wasteful number, since it uses less digits than its factorization.

1461952864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1381 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 1461952864 is about 38235.4922029258. The cubic root of 1461952864 is about 1134.9527725890.

The spelling of 1461952864 in words is "one billion, four hundred sixty-one million, nine hundred fifty-two thousand, eight hundred sixty-four".