464820487200 has 1152 divisors, whose sum is σ = 1898518487040. Its totient is φ = 109121126400.

The previous prime is 464820487133. The next prime is 464820487259. The reversal of 464820487200 is 2784028464.

464820487200 is a `hidden beast` number, since 464 + 82 + 0 + 48 + 72 + 0 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396942615 + ... + 396943785.

It is an arithmetic number, because the mean of its divisors is an integer number (1648019520).

Almost surely, 2^464820487200 is an apocalyptic number.

464820487200 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 464820487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949259243520).

464820487200 is an abundant number, since it is smaller than the sum of its proper divisors (1433697999840).

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

464820487200 is a wasteful number, since it uses less digits than its factorization.

464820487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 464820487200 in words is "four hundred sixty-four billion, eight hundred twenty million, four hundred eighty-seven thousand, two hundred".