464023613952 has 200 divisors, whose sum is σ = 1395577074672. Its totient is φ = 153492019200.

The previous prime is 464023613929. The next prime is 464023613953. The reversal of 464023613952 is 259316320464.

464023613952 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 23 + 613 + 9 + 5 + 2 = 666.

It is a super-3 number, since 3×464023613952³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464023613898 and 464023613907.

It is not an unprimeable number, because it can be changed into a prime (464023613953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5390127 + ... + 5475537.

Almost surely, 2^464023613952 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 464023613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697788537336).

464023613952 is an abundant number, since it is smaller than the sum of its proper divisors (931553460720).

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

464023613952 is an equidigital number, since it uses as much as digits as its factorization.

464023613952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85572 (or 85547 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 464023613952 in words is "four hundred sixty-four billion, twenty-three million, six hundred thirteen thousand, nine hundred fifty-two".