464400362020176 has 120 divisors (see below), whose sum is σ = 1376388557804520. Its totient is φ = 145666596937728.

The previous prime is 464400362020171. The next prime is 464400362020201. The reversal of 464400362020176 is 671020263004464.

464400362020176 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 0 + 0 + 3 + 620 + 2 + 0 + 17 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95297112576576 + 369103249443600 = 9762024^2 + 19212060^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464400362020171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5080131 + ... + 30896738.

It is an arithmetic number, because the mean of its divisors is an integer number (11469904648371).

Almost surely, 2^{464400362020176} 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 464400362020176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688194278902260).

464400362020176 is an abundant number, since it is smaller than the sum of its proper divisors (911988195784344).

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

464400362020176 is a wasteful number, since it uses less digits than its factorization.

464400362020176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35982173 (or 35982164 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 464400362020176 in words is "four hundred sixty-four trillion, four hundred billion, three hundred sixty-two million, twenty thousand, one hundred seventy-six".