463953672 has 192 divisors, whose sum is σ = 1559376000. Its totient is φ = 122069376.

The previous prime is 463953641. The next prime is 463953673. The reversal of 463953672 is 276359364.

463953672 is a `hidden beast` number, since 4 + 639 + 5 + 3 + 6 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (463953673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107079 + ... + 1107497.

It is an arithmetic number, because the mean of its divisors is an integer number (8121750).

Almost surely, 2^463953672 is an apocalyptic number.

463953672 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 463953672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779688000).

463953672 is an abundant number, since it is smaller than the sum of its proper divisors (1095422328).

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

463953672 is a wasteful number, since it uses less digits than its factorization.

463953672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 444 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 463953672 is about 21539.5838399910. The cubic root of 463953672 is about 774.1495614673.

It can be divided in two parts, 4639 and 53672, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 463953672 in words is "four hundred sixty-three million, nine hundred fifty-three thousand, six hundred seventy-two".