465039025920 has 864 divisors, whose sum is σ = 1943182725120. Its totient is φ = 100421959680.

The previous prime is 465039025907. The next prime is 465039025921. The reversal of 465039025920 is 29520930564.

465039025920 is a `hidden beast` number, since 4 + 6 + 5 + 0 + 390 + 259 + 2 + 0 = 666.

It is a super-2 number, since 2×465039025920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465039025921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 109910205 + ... + 109914435.

It is an arithmetic number, because the mean of its divisors is an integer number (2249054080).

Almost surely, 2^465039025920 is an apocalyptic number.

465039025920 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 465039025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971591362560).

465039025920 is an abundant number, since it is smaller than the sum of its proper divisors (1478143699200).

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

465039025920 is a wasteful number, since it uses less digits than its factorization.

465039025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 465039025920 in words is "four hundred sixty-five billion, thirty-nine million, twenty-five thousand, nine hundred twenty".