464705920800 has 864 divisors, whose sum is σ = 1956221668800. Its totient is φ = 106019020800.

The previous prime is 464705920787. The next prime is 464705920829. The reversal of 464705920800 is 8029507464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 143 ways as a sum of consecutive naturals, for example, 44425971 + ... + 44436429.

It is an arithmetic number, because the mean of its divisors is an integer number (2264145450).

Almost surely, 2^464705920800 is an apocalyptic number.

464705920800 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 464705920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978110834400).

464705920800 is an abundant number, since it is smaller than the sum of its proper divisors (1491515748000).

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

464705920800 is a wasteful number, since it uses less digits than its factorization.

464705920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 464705920800 in words is "four hundred sixty-four billion, seven hundred five million, nine hundred twenty thousand, eight hundred".