464934712320 has 880 divisors, whose sum is σ = 1817586650880. Its totient is φ = 112957784064.

The previous prime is 464934712309. The next prime is 464934712327. The reversal of 464934712320 is 23217439464.

464934712320 is a `hidden beast` number, since 4 + 64 + 93 + 471 + 2 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464934712327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 447482361 + ... + 447483399.

It is an arithmetic number, because the mean of its divisors is an integer number (2065439376).

Almost surely, 2^464934712320 is an apocalyptic number.

464934712320 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 464934712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908793325440).

464934712320 is an abundant number, since it is smaller than the sum of its proper divisors (1352651938560).

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

464934712320 is a wasteful number, since it uses less digits than its factorization.

464934712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 464934712320 in words is "four hundred sixty-four billion, nine hundred thirty-four million, seven hundred twelve thousand, three hundred twenty".