464368424520 has 1024 divisors, whose sum is σ = 1935816744960. Its totient is φ = 85996339200.

The previous prime is 464368424501. The next prime is 464368424521. The reversal of 464368424520 is 25424863464.

It is a self number, because there is not a number n which added to its sum of digits gives 464368424520.

It is not an unprimeable number, because it can be changed into a prime (464368424521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 724443400 + ... + 724444040.

It is an arithmetic number, because the mean of its divisors is an integer number (1890446040).

Almost surely, 2^464368424520 is an apocalyptic number.

464368424520 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 464368424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967908372480).

464368424520 is an abundant number, since it is smaller than the sum of its proper divisors (1471448320440).

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

464368424520 is a wasteful number, since it uses less digits than its factorization.

464368424520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

It can be divided in two parts, 464368 and 424520, that added together give a palindrome (888888).

The spelling of 464368424520 in words is "four hundred sixty-four billion, three hundred sixty-eight million, four hundred twenty-four thousand, five hundred twenty".