1464810405480 has 448 divisors, whose sum is σ = 5063426553600. Its totient is φ = 381032087040.

The previous prime is 1464810405479. The next prime is 1464810405511. The reversal of 1464810405480 is 845040184641.

1464810405480 is a `hidden beast` number, since 1 + 4 + 6 + 481 + 0 + 40 + 54 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 453640506 + ... + 453643734.

Almost surely, 2^{1464810405480} is an apocalyptic number.

1464810405480 is a gapful number since it is divisible by the number (10) 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 1464810405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531713276800).

1464810405480 is an abundant number, since it is smaller than the sum of its proper divisors (3598616148120).

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

1464810405480 is a wasteful number, since it uses less digits than its factorization.

1464810405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1464810405480 in words is "one trillion, four hundred sixty-four billion, eight hundred ten million, four hundred five thousand, four hundred eighty".