464857328700 has 288 divisors, whose sum is σ = 1544234496000. Its totient is φ = 119839046400.

The previous prime is 464857328641. The next prime is 464857328713. The reversal of 464857328700 is 7823758464.

464857328700 is a `hidden beast` number, since 4 + 6 + 48 + 573 + 28 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102865041 + ... + 102869559.

Almost surely, 2^464857328700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464857328700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772117248000).

464857328700 is an abundant number, since it is smaller than the sum of its proper divisors (1079377167300).

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

464857328700 is a wasteful number, since it uses less digits than its factorization.

464857328700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5802 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 464857328700 in words is "four hundred sixty-four billion, eight hundred fifty-seven million, three hundred twenty-eight thousand, seven hundred".