464393952 has 192 divisors, whose sum is σ = 1492888320. Its totient is φ = 139276800.

The previous prime is 464393939. The next prime is 464393957. The reversal of 464393952 is 259393464.

It is a junction number, because it is equal to n+sod(n) for n = 464393898 and 464393907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464393957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244838 + ... + 1245210.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^464393952 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 464393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746444160).

464393952 is an abundant number, since it is smaller than the sum of its proper divisors (1028494368).

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

464393952 is a wasteful number, since it uses less digits than its factorization.

464393952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

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

The square root of 464393952 is about 21549.8016696210. The cubic root of 464393952 is about 774.3943666633.

The spelling of 464393952 in words is "four hundred sixty-four million, three hundred ninety-three thousand, nine hundred fifty-two".