464900000 has 72 divisors (see below), whose sum is σ = 1144262700. Its totient is φ = 185920000.

The previous prime is 464899997. The next prime is 464900011. The reversal of 464900000 is 9464.

It can be written as a sum of positive squares in 6 ways, for example, as 583696 + 464316304 = 764^2 + 21548^2 .

It is a super-2 number, since 2×464900000² = 432264020000000000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 97676 + ... + 102324.

Almost surely, 2^464900000 is an apocalyptic number.

464900000 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 464900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572131350).

464900000 is an abundant number, since it is smaller than the sum of its proper divisors (679362700).

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

464900000 is an frugal number, since it uses more digits than its factorization.

464900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 464900000 is about 21561.5398336946. The cubic root of 464900000 is about 774.6755492392.

Adding to 464900000 its reverse (9464), we get a palindrome (464909464).

The spelling of 464900000 in words is "four hundred sixty-four million, nine hundred thousand".