463672000 has 168 divisors, whose sum is σ = 1264798080. Its totient is φ = 168256000.

The previous prime is 463671941. The next prime is 463672003. The reversal of 463672000 is 276364.

It is a self number, because there is not a number n which added to its sum of digits gives 463672000.

It is not an unprimeable number, because it can be changed into a prime (463672003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967761 + ... + 968239.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^463672000 is an apocalyptic number.

463672000 is a gapful number since it is divisible by the number (40) 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 463672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

463672000 is an abundant number, since it is smaller than the sum of its proper divisors (801126080).

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

463672000 is a wasteful number, since it uses less digits than its factorization.

463672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 463672000 is about 21533.0443737062. The cubic root of 463672000 is about 773.9928645012.

It can be divided in two parts, 4636 and 72000, that added together give a triangular number (76636 = T₃₉₁).

The spelling of 463672000 in words is "four hundred sixty-three million, six hundred seventy-two thousand".