1464680448 has 480 divisors, whose sum is σ = 5536312320. Its totient is φ = 371589120.

The previous prime is 1464680447. The next prime is 1464680449. The reversal of 1464680448 is 8440864641.

1464680448 is a `hidden beast` number, since 146 + 4 + 68 + 0 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (1464680447) and next prime (1464680449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464680443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34062315 + ... + 34062357.

It is an arithmetic number, because the mean of its divisors is an integer number (11533984).

Almost surely, 2^1464680448 is an apocalyptic number.

1464680448 is a gapful number since it is divisible by the number (18) 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 1464680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768156160).

1464680448 is an abundant number, since it is smaller than the sum of its proper divisors (4071631872).

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

1464680448 is an equidigital number, since it uses as much as digits as its factorization.

1464680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 1464680448 is about 38271.1438031319. The cubic root of 1464680448 is about 1135.6581660110.

The spelling of 1464680448 in words is "one billion, four hundred sixty-four million, six hundred eighty thousand, four hundred forty-eight".