465504986880 has 288 divisors, whose sum is σ = 1683070643520. Its totient is φ = 121792020480.

The previous prime is 465504986801. The next prime is 465504986897. The reversal of 465504986880 is 88689405564.

465504986880 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 0 + 498 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1704610 + ... + 1958750.

It is an arithmetic number, because the mean of its divisors is an integer number (5843995290).

Almost surely, 2^465504986880 is an apocalyptic number.

465504986880 is a gapful number since it is divisible by the number (40) 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 465504986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841535321760).

465504986880 is an abundant number, since it is smaller than the sum of its proper divisors (1217565656640).

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

465504986880 is a wasteful number, since it uses less digits than its factorization.

465504986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254224 (or 254204 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 465504986880 in words is "four hundred sixty-five billion, five hundred four million, nine hundred eighty-six thousand, eight hundred eighty".