464052416347520 has 768 divisors, whose sum is σ = 1528261577280000. Its totient is φ = 133513464913920.

The previous prime is 464052416347519. The next prime is 464052416347567. The reversal of 464052416347520 is 25743614250464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407519111 + ... + 408656249.

It is an arithmetic number, because the mean of its divisors is an integer number (1989923928750).

Almost surely, 2^{464052416347520} is an apocalyptic number.

464052416347520 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 464052416347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764130788640000).

464052416347520 is an abundant number, since it is smaller than the sum of its proper divisors (1064209160932480).

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

464052416347520 is a wasteful number, since it uses less digits than its factorization.

464052416347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137216 (or 1137177 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 53.

The spelling of 464052416347520 in words is "four hundred sixty-four trillion, fifty-two billion, four hundred sixteen million, three hundred forty-seven thousand, five hundred twenty".