464641000 has 64 divisors (see below), whose sum is σ = 1092546000. Its totient is φ = 184953600.

The previous prime is 464640977. The next prime is 464641007. The reversal of 464641000 is 146464.

It can be written as a sum of positive squares in 8 ways, for example, as 233661796 + 230979204 = 15286^2 + 15198^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (464641007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227986 + ... + 230014.

Almost surely, 2^464641000 is an apocalyptic number.

464641000 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 464641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546273000).

464641000 is an abundant number, since it is smaller than the sum of its proper divisors (627905000).

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

464641000 is a wasteful number, since it uses less digits than its factorization.

464641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 464641000 is about 21555.5329324051. The cubic root of 464641000 is about 774.5316629279.

Adding to 464641000 its reverse (146464), we get a palindrome (464787464).

The spelling of 464641000 in words is "four hundred sixty-four million, six hundred forty-one thousand".