464896300 has 72 divisors (see below), whose sum is σ = 1106304192. Its totient is φ = 168168000.

The previous prime is 464896261. The next prime is 464896301. The reversal of 464896300 is 3698464.

It is a super-2 number, since 2×464896300² = 432257139507380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464896301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231099 + ... + 233101.

It is an arithmetic number, because the mean of its divisors is an integer number (15365336).

Almost surely, 2^464896300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464896300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553152096).

464896300 is an abundant number, since it is smaller than the sum of its proper divisors (641407892).

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

464896300 is a wasteful number, since it uses less digits than its factorization.

464896300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 464896300 is about 21561.4540326018. The cubic root of 464896300 is about 774.6734940968.

The spelling of 464896300 in words is "four hundred sixty-four million, eight hundred ninety-six thousand, three hundred".