464755200 has 720 divisors, whose sum is σ = 2024557920. Its totient is φ = 92897280.

The previous prime is 464755177. The next prime is 464755243. The reversal of 464755200 is 2557464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24460791 + ... + 24460809.

It is an arithmetic number, because the mean of its divisors is an integer number (2811886).

Almost surely, 2^464755200 is an apocalyptic number.

464755200 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 464755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012278960).

464755200 is an abundant number, since it is smaller than the sum of its proper divisors (1559802720).

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

464755200 is a wasteful number, since it uses less digits than its factorization.

464755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 464755200 is about 21558.1817415106. The cubic root of 464755200 is about 774.5951128245.

The spelling of 464755200 in words is "four hundred sixty-four million, seven hundred fifty-five thousand, two hundred".