465236961000 has 256 divisors, whose sum is σ = 1674129600000. Its totient is φ = 105363763200.

The previous prime is 465236960989. The next prime is 465236961019. The reversal of 465236961000 is 169632564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2187376 + ... + 2390624.

It is an arithmetic number, because the mean of its divisors is an integer number (6539568750).

Almost surely, 2^465236961000 is an apocalyptic number.

465236961000 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 465236961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837064800000).

465236961000 is an abundant number, since it is smaller than the sum of its proper divisors (1208892639000).

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

465236961000 is a wasteful number, since it uses less digits than its factorization.

465236961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203389 (or 203375 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 465236961000 in words is "four hundred sixty-five billion, two hundred thirty-six million, nine hundred sixty-one thousand".