468062976 has 72 divisors (see below), whose sum is σ = 1253707840. Its totient is φ = 155022336.

The previous prime is 468062971. The next prime is 468063019. The reversal of 468062976 is 679260864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (468062971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123315 + ... + 127053.

Almost surely, 2^468062976 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 468062976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626853920).

468062976 is an abundant number, since it is smaller than the sum of its proper divisors (785644864).

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

468062976 is a wasteful number, since it uses less digits than its factorization.

468062976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 468062976 is about 21634.7631371365. The cubic root of 468062976 is about 776.4284310067.

The spelling of 468062976 in words is "four hundred sixty-eight million, sixty-two thousand, nine hundred seventy-six".