464701000 has 128 divisors (see below), whose sum is σ = 1134207360. Its totient is φ = 178080000.

The previous prime is 464700983. The next prime is 464701021. The reversal of 464701000 is 107464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4342947 + ... + 4343053.

It is an arithmetic number, because the mean of its divisors is an integer number (8860995).

Almost surely, 2^464701000 is an apocalyptic number.

464701000 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 464701000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567103680).

464701000 is an abundant number, since it is smaller than the sum of its proper divisors (669506360).

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

464701000 is a wasteful number, since it uses less digits than its factorization.

464701000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 464701000 is about 21556.9246415160. The cubic root of 464701000 is about 774.5650004218.

Adding to 464701000 its reverse (107464), we get a palindrome (464808464).

The spelling of 464701000 in words is "four hundred sixty-four million, seven hundred one thousand".