464302273344 has 448 divisors, whose sum is σ = 1604226871296. Its totient is φ = 115010666496.

The previous prime is 464302273343. The next prime is 464302273399. The reversal of 464302273344 is 443372203464.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 464302273296 and 464302273305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464302273343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174351757 + ... + 174354419.

It is an arithmetic number, because the mean of its divisors is an integer number (3580863552).

Almost surely, 2^464302273344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464302273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802113435648).

464302273344 is an abundant number, since it is smaller than the sum of its proper divisors (1139924597952).

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

464302273344 is a wasteful number, since it uses less digits than its factorization.

464302273344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 42.

The spelling of 464302273344 in words is "four hundred sixty-four billion, three hundred two million, two hundred seventy-three thousand, three hundred forty-four".