463535352 has 128 divisors (see below), whose sum is σ = 1478131200. Its totient is φ = 131846400.

The previous prime is 463535351. The next prime is 463535431. The reversal of 463535352 is 253535364.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463535351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424327 + ... + 425417.

It is an arithmetic number, because the mean of its divisors is an integer number (11547900).

Almost surely, 2^463535352 is an apocalyptic number.

463535352 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 463535352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739065600).

463535352 is an abundant number, since it is smaller than the sum of its proper divisors (1014595848).

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

463535352 is a wasteful number, since it uses less digits than its factorization.

463535352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1384 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

The square root of 463535352 is about 21529.8711561403. The cubic root of 463535352 is about 773.9168229830.

The spelling of 463535352 in words is "four hundred sixty-three million, five hundred thirty-five thousand, three hundred fifty-two".