465121276000 has 96 divisors (see below), whose sum is σ = 1143494640288. Its totient is φ = 185935910400.

The previous prime is 465121275973. The next prime is 465121276027. The reversal of 465121276000 is 672121564.

It is an interprime number because it is at equal distance from previous prime (465121275973) and next prime (465121276027).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6737659 + ... + 6806341.

It is an arithmetic number, because the mean of its divisors is an integer number (11911402503).

Almost surely, 2^465121276000 is an apocalyptic number.

465121276000 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 465121276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571747320144).

465121276000 is an abundant number, since it is smaller than the sum of its proper divisors (678373364288).

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

465121276000 is a wasteful number, since it uses less digits than its factorization.

465121276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70401 (or 70383 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 465121276000 its reverse (672121564), we get a palindrome (465793397564).

The spelling of 465121276000 in words is "four hundred sixty-five billion, one hundred twenty-one million, two hundred seventy-six thousand".