464886900 has 54 divisors (see below), whose sum is σ = 1457164982. Its totient is φ = 123969600.

The previous prime is 464886899. The next prime is 464886949. The reversal of 464886900 is 9688464.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16548624 + 448338276 = 4068^2 + 21174^2 .

It is a super-2 number, since 2×464886900² = 432239659583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 257371 + ... + 259170.

Almost surely, 2^464886900 is an apocalyptic number.

It is an amenable number.

464886900 is an abundant number, since it is smaller than the sum of its proper divisors (992278082).

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

464886900 is a wasteful number, since it uses less digits than its factorization.

464886900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516561 (or 516551 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 464886900 is about 21561.2360499114. The cubic root of 464886900 is about 774.6682728751.

It can be divided in two parts, 464 and 886900, that added together give a square (887364 = 942²).

The spelling of 464886900 in words is "four hundred sixty-four million, eight hundred eighty-six thousand, nine hundred".