467672000 has 112 divisors (see below), whose sum is σ = 1181112192. Its totient is φ = 183372800.

The previous prime is 467671991. The next prime is 467672077. The reversal of 467672000 is 276764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 423449 + ... + 424551.

Almost surely, 2^467672000 is an apocalyptic number.

467672000 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 467672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590556096).

467672000 is an abundant number, since it is smaller than the sum of its proper divisors (713440192).

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

467672000 is a wasteful number, since it uses less digits than its factorization.

467672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 467672000 is about 21625.7254213587. The cubic root of 467672000 is about 776.2121855723.

The spelling of 467672000 in words is "four hundred sixty-seven million, six hundred seventy-two thousand".