462938112 has 448 divisors, whose sum is σ = 1761500160. Its totient is φ = 116785152.

The previous prime is 462938111. The next prime is 462938143. The reversal of 462938112 is 211839264.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462938111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20127733 + ... + 20127755.

It is an arithmetic number, because the mean of its divisors is an integer number (3931920).

Almost surely, 2^462938112 is an apocalyptic number.

462938112 is a gapful number since it is divisible by the number (42) 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 462938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880750080).

462938112 is an abundant number, since it is smaller than the sum of its proper divisors (1298562048).

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

462938112 is a wasteful number, since it uses less digits than its factorization.

462938112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 462938112 is about 21515.9966536528. The cubic root of 462938112 is about 773.5842969335.

The spelling of 462938112 in words is "four hundred sixty-two million, nine hundred thirty-eight thousand, one hundred twelve".