462327723264 has 144 divisors (see below), whose sum is σ = 1378606541760. Its totient is φ = 136312750080.

The previous prime is 462327723233. The next prime is 462327723269.

It is a happy number.

462327723264 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×462327723264³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462327723269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426969 + ... + 1052120.

It is an arithmetic number, because the mean of its divisors is an integer number (9573656540).

Almost surely, 2^462327723264 is an apocalyptic number.

462327723264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

462327723264 is an abundant number, since it is smaller than the sum of its proper divisors (916278818496).

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

462327723264 is a wasteful number, since it uses less digits than its factorization.

462327723264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479156 (or 1479142 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The spelling of 462327723264 in words is "four hundred sixty-two billion, three hundred twenty-seven million, seven hundred twenty-three thousand, two hundred sixty-four".