462446712 has 192 divisors, whose sum is σ = 1609725600. Its totient is φ = 121927680.

The previous prime is 462446689. The next prime is 462446713. The reversal of 462446712 is 217644264.

It is a super-2 number, since 2×462446712² = 427713922879221888, which contains 22 as substring.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462446713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135912 + ... + 139272.

Almost surely, 2^462446712 is an apocalyptic number.

462446712 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 462446712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804862800).

462446712 is an abundant number, since it is smaller than the sum of its proper divisors (1147278888).

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

462446712 is a wasteful number, since it uses less digits than its factorization.

462446712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3386 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 462446712 is about 21504.5742110836. The cubic root of 462446712 is about 773.3104850232.

The spelling of 462446712 in words is "four hundred sixty-two million, four hundred forty-six thousand, seven hundred twelve".