465211300096 has 81 divisors (see below), whose sum is σ = 949830524139. Its totient is φ = 227405594112.

The previous prime is 465211300067. The next prime is 465211300163. The reversal of 465211300096 is 690003112564.

The square root of 465211300096 is 682064.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 512911675 + ... + 512912581.

Almost surely, 2^465211300096 is an apocalyptic number.

465211300096 is the 682064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465211300096

465211300096 is an abundant number, since it is smaller than the sum of its proper divisors (484619224043).

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

465211300096 is an frugal number, since it uses more digits than its factorization.

465211300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 465211300096 in words is "four hundred sixty-five billion, two hundred eleven million, three hundred thousand, ninety-six".