465481480464 has 1440 divisors, whose sum is σ = 1863742712832. Its totient is φ = 109417651200.

The previous prime is 465481480441. The next prime is 465481480517. The reversal of 465481480464 is 464084184564.

465481480464 is a `hidden beast` number, since 4 + 6 + 548 + 14 + 80 + 4 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 465481480464.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3553293679 + ... + 3553293809.

Almost surely, 2^465481480464 is an apocalyptic number.

465481480464 is a gapful number since it is divisible by the number (44) 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 465481480464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931871356416).

465481480464 is an abundant number, since it is smaller than the sum of its proper divisors (1398261232368).

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

465481480464 is a wasteful number, since it uses less digits than its factorization.

465481480464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 465481480464 in words is "four hundred sixty-five billion, four hundred eighty-one million, four hundred eighty thousand, four hundred sixty-four".