464773320 has 192 divisors, whose sum is σ = 1658067840. Its totient is φ = 111974400.

The previous prime is 464773303. The next prime is 464773333. The reversal of 464773320 is 23377464.

It is a happy number.

464773320 is a `hidden beast` number, since 4 + 647 + 7 + 3 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954117 + ... + 954603.

It is an arithmetic number, because the mean of its divisors is an integer number (8635770).

Almost surely, 2^464773320 is an apocalyptic number.

464773320 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 464773320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829033920).

464773320 is an abundant number, since it is smaller than the sum of its proper divisors (1193294520).

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

464773320 is a wasteful number, since it uses less digits than its factorization.

464773320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 464773320 is about 21558.6019954913. The cubic root of 464773320 is about 774.6051794008.

The spelling of 464773320 in words is "four hundred sixty-four million, seven hundred seventy-three thousand, three hundred twenty".