464895800 has 144 divisors (see below), whose sum is σ = 1173540960. Its totient is φ = 171164160.

The previous prime is 464895793. The next prime is 464895863. The reversal of 464895800 is 8598464.

It is a happy number.

It is a super-2 number, since 2×464895800² = 432256209715280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3393332 + ... + 3393468.

It is an arithmetic number, because the mean of its divisors is an integer number (8149590).

Almost surely, 2^464895800 is an apocalyptic number.

464895800 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 464895800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586770480).

464895800 is an abundant number, since it is smaller than the sum of its proper divisors (708645160).

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

464895800 is a wasteful number, since it uses less digits than its factorization.

464895800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 464895800 is about 21561.4424378333. The cubic root of 464895800 is about 774.6732163740.

The spelling of 464895800 in words is "four hundred sixty-four million, eight hundred ninety-five thousand, eight hundred".