463896972 has 144 divisors (see below), whose sum is σ = 1501823232. Its totient is φ = 117210240.

The previous prime is 463896949. The next prime is 463896977. The reversal of 463896972 is 279698364.

It is a happy number.

463896972 is a `hidden beast` number, since 463 + 8 + 96 + 97 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (463896977) 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 47 ways as a sum of consecutive naturals, for example, 100303 + ... + 104825.

It is an arithmetic number, because the mean of its divisors is an integer number (10429328).

Almost surely, 2^463896972 is an apocalyptic number.

463896972 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 463896972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750911616).

463896972 is an abundant number, since it is smaller than the sum of its proper divisors (1037926260).

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

463896972 is a wasteful number, since it uses less digits than its factorization.

463896972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4583 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 463896972 is about 21538.2676183578. The cubic root of 463896972 is about 774.1180237865.

It can be divided in two parts, 46389 and 6972, that added together give a square (53361 = 231²).

The spelling of 463896972 in words is "four hundred sixty-three million, eight hundred ninety-six thousand, nine hundred seventy-two".