464749084800 has 2880 divisors, whose sum is σ = 2321180184960. Its totient is φ = 87246028800.

The previous prime is 464749084693. The next prime is 464749084861. The reversal of 464749084800 is 8480947464.

464749084800 is a `hidden beast` number, since 4 + 6 + 4 + 74 + 90 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 359 ways as a sum of consecutive naturals, for example, 9888278377 + ... + 9888278423.

It is an arithmetic number, because the mean of its divisors is an integer number (805965342).

Almost surely, 2^464749084800 is an apocalyptic number.

464749084800 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 464749084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160590092480).

464749084800 is an abundant number, since it is smaller than the sum of its proper divisors (1856431100160).

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

464749084800 is a wasteful number, since it uses less digits than its factorization.

464749084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 464749084800 in words is "four hundred sixty-four billion, seven hundred forty-nine million, eighty-four thousand, eight hundred".