464401231354760 has 128 divisors (see below), whose sum is σ = 1197221484096000. Its totient is φ = 158817225498624.

The previous prime is 464401231354607. The next prime is 464401231354777. The reversal of 464401231354760 is 67453132104464.

It is a junction number, because it is equal to n+sod(n) for n = 464401231354699 and 464401231354708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451463096 + ... + 452490584.

It is an arithmetic number, because the mean of its divisors is an integer number (9353292844500).

Almost surely, 2^{464401231354760} is an apocalyptic number.

464401231354760 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 464401231354760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598610742048000).

464401231354760 is an abundant number, since it is smaller than the sum of its proper divisors (732820252741240).

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

464401231354760 is a wasteful number, since it uses less digits than its factorization.

464401231354760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031623 (or 1031619 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 50.

The spelling of 464401231354760 in words is "four hundred sixty-four trillion, four hundred one billion, two hundred thirty-one million, three hundred fifty-four thousand, seven hundred sixty".