1464955648 has 144 divisors (see below), whose sum is σ = 3342921120. Its totient is φ = 635830272.

The previous prime is 1464955607. The next prime is 1464955649. The reversal of 1464955648 is 8465594641.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1464955595 and 1464955604.

It is not an unprimeable number, because it can be changed into a prime (1464955649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4149840 + ... + 4150192.

It is an arithmetic number, because the mean of its divisors is an integer number (23214730).

Almost surely, 2^1464955648 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 1464955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671460560).

1464955648 is an abundant number, since it is smaller than the sum of its proper divisors (1877965472).

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

1464955648 is a wasteful number, since it uses less digits than its factorization.

1464955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The square root of 1464955648 is about 38274.7390324219. The cubic root of 1464955648 is about 1135.7292881354.

The spelling of 1464955648 in words is "one billion, four hundred sixty-four million, nine hundred fifty-five thousand, six hundred forty-eight".