464429295895872 has 224 divisors, whose sum is σ = 1331499659681664. Its totient is φ = 142298092339200.

The previous prime is 464429295895841. The next prime is 464429295895963. The reversal of 464429295895872 is 278598592924464.

It is a happy number.

It is a congruent number.

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, 1218205122 + ... + 1218586302.

Almost surely, 2^{464429295895872} 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 464429295895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665749829840832).

464429295895872 is an abundant number, since it is smaller than the sum of its proper divisors (867070363785792).

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

464429295895872 is a wasteful number, since it uses less digits than its factorization.

464429295895872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389937 (or 389927 counting only the distinct ones).

The product of its digits is 25082265600, while the sum is 84.

The spelling of 464429295895872 in words is "four hundred sixty-four trillion, four hundred twenty-nine billion, two hundred ninety-five million, eight hundred ninety-five thousand, eight hundred seventy-two".