464096784000 has 512 divisors, whose sum is σ = 1614459525120. Its totient is φ = 117780480000.

The previous prime is 464096783999. The next prime is 464096784007. The reversal of 464096784000 is 487690464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (464096784007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 90765444 + ... + 90770556.

It is an arithmetic number, because the mean of its divisors is an integer number (3153241260).

Almost surely, 2^464096784000 is an apocalyptic number.

464096784000 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 464096784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807229762560).

464096784000 is an abundant number, since it is smaller than the sum of its proper divisors (1150362741120).

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

464096784000 is a wasteful number, since it uses less digits than its factorization.

464096784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 464096784000 in words is "four hundred sixty-four billion, ninety-six million, seven hundred eighty-four thousand".