464967000 has 256 divisors, whose sum is σ = 1708387200. Its totient is φ = 116582400.

The previous prime is 464966989. The next prime is 464967007. The reversal of 464967000 is 769464.

464967000 is a `hidden beast` number, since 4 + 649 + 6 + 7 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×464967000² = 432388622178000000, which contains 22 as substring.

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 (464967007) 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 63 ways as a sum of consecutive naturals, for example, 458494 + ... + 459506.

Almost surely, 2^464967000 is an apocalyptic number.

464967000 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 464967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854193600).

464967000 is an abundant number, since it is smaller than the sum of its proper divisors (1243420200).

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

464967000 is a wasteful number, since it uses less digits than its factorization.

464967000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 464967000 is about 21563.0934700938. The cubic root of 464967000 is about 774.7127620940.

The spelling of 464967000 in words is "four hundred sixty-four million, nine hundred sixty-seven thousand".