464933952 has 504 divisors, whose sum is σ = 1777898400. Its totient is φ = 118444032.

The previous prime is 464933947. The next prime is 464933957. The reversal of 464933952 is 259339464.

It is an interprime number because it is at equal distance from previous prime (464933947) and next prime (464933957).

It is a tau number, because it is divible by the number of its divisors (504).

Its product of digits (699840) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 464933898 and 464933907.

It is not an unprimeable number, because it can be changed into a prime (464933957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24470199 + ... + 24470217.

Almost surely, 2^464933952 is an apocalyptic number.

464933952 is a gapful number since it is divisible by the number (42) 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 464933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888949200).

464933952 is an abundant number, since it is smaller than the sum of its proper divisors (1312964448).

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

464933952 is a wasteful number, since it uses less digits than its factorization.

464933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 464933952 is about 21562.3271471333. The cubic root of 464933952 is about 774.6944071613.

The spelling of 464933952 in words is "four hundred sixty-four million, nine hundred thirty-three thousand, nine hundred fifty-two".