462266112 has 144 divisors (see below), whose sum is σ = 1534079232. Its totient is φ = 120053760.

The previous prime is 462266111. The next prime is 462266137. The reversal of 462266112 is 211662264.

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

It is a self number, because there is not a number n which added to its sum of digits gives 462266112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462266111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55228 + ... + 63044.

It is an arithmetic number, because the mean of its divisors is an integer number (10653328).

Almost surely, 2^462266112 is an apocalyptic number.

462266112 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 462266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767039616).

462266112 is an abundant number, since it is smaller than the sum of its proper divisors (1071813120).

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

462266112 is a wasteful number, since it uses less digits than its factorization.

462266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7840 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 462266112 is about 21500.3746944094. The cubic root of 462266112 is about 773.2098045524.

It can be divided in two parts, 462 and 266112, that multiplied together give a square (122943744 = 11088²).

The spelling of 462266112 in words is "four hundred sixty-two million, two hundred sixty-six thousand, one hundred twelve".