464348092320 has 864 divisors, whose sum is σ = 2003081633280. Its totient is φ = 97298288640.

The previous prime is 464348092319. The next prime is 464348092331. The reversal of 464348092320 is 23290843464.

464348092320 is a `hidden beast` number, since 4 + 64 + 3 + 480 + 92 + 3 + 20 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41554254 + ... + 41565426.

It is an arithmetic number, because the mean of its divisors is an integer number (2318381520).

Almost surely, 2^464348092320 is an apocalyptic number.

464348092320 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 464348092320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001540816640).

464348092320 is an abundant number, since it is smaller than the sum of its proper divisors (1538733540960).

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

464348092320 is a wasteful number, since it uses less digits than its factorization.

464348092320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11240 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 464348092320 in words is "four hundred sixty-four billion, three hundred forty-eight million, ninety-two thousand, three hundred twenty".