465240511360 has 128 divisors (see below), whose sum is σ = 1165785384960. Its totient is φ = 177205585920.

The previous prime is 465240511331. The next prime is 465240511447. The reversal of 465240511360 is 63115042564.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3211695 + ... + 3353425.

It is an arithmetic number, because the mean of its divisors is an integer number (9107698320).

Almost surely, 2^465240511360 is an apocalyptic number.

465240511360 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 465240511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582892692480).

465240511360 is an abundant number, since it is smaller than the sum of its proper divisors (700544873600).

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

465240511360 is a wasteful number, since it uses less digits than its factorization.

465240511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141996 (or 141984 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 465240511360 in words is "four hundred sixty-five billion, two hundred forty million, five hundred eleven thousand, three hundred sixty".