464485948416 has 528 divisors, whose sum is σ = 1708451746560. Its totient is φ = 118324592640.

The previous prime is 464485948351. The next prime is 464485948429. The reversal of 464485948416 is 614849584464.

464485948416 is a `hidden beast` number, since 4 + 64 + 4 + 85 + 9 + 484 + 16 = 666.

It is a super-2 number, since 2×464485948416² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20826231 + ... + 20848521.

Almost surely, 2^464485948416 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 464485948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854225873280).

464485948416 is an abundant number, since it is smaller than the sum of its proper divisors (1243965798144).

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

464485948416 is a wasteful number, since it uses less digits than its factorization.

464485948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22360 (or 22339 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 464485948416 in words is "four hundred sixty-four billion, four hundred eighty-five million, nine hundred forty-eight thousand, four hundred sixteen".