465231755520 has 720 divisors, whose sum is σ = 1910370147840. Its totient is φ = 105898917888.

The previous prime is 465231755509. The next prime is 465231755543. The reversal of 465231755520 is 25557132564.

It is a happy number.

465231755520 is a `hidden beast` number, since 4 + 6 + 5 + 23 + 1 + 75 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 195228249 + ... + 195230631.

It is an arithmetic number, because the mean of its divisors is an integer number (2653291872).

Almost surely, 2^465231755520 is an apocalyptic number.

465231755520 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 465231755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955185073920).

465231755520 is an abundant number, since it is smaller than the sum of its proper divisors (1445138392320).

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

465231755520 is a wasteful number, since it uses less digits than its factorization.

465231755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 465231755520 in words is "four hundred sixty-five billion, two hundred thirty-one million, seven hundred fifty-five thousand, five hundred twenty".