462214368 has 288 divisors, whose sum is σ = 1726583040. Its totient is φ = 113633280.

The previous prime is 462214367. The next prime is 462214369. The reversal of 462214368 is 863412264.

It is an interprime number because it is at equal distance from previous prime (462214367) and next prime (462214369).

It is a tau number, because it is divible by the number of its divisors (288).

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 (462214367) 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, 420796 + ... + 421892.

It is an arithmetic number, because the mean of its divisors is an integer number (5995080).

Almost surely, 2^462214368 is an apocalyptic number.

462214368 is a gapful number since it is divisible by the number (48) 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 462214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863291520).

462214368 is an abundant number, since it is smaller than the sum of its proper divisors (1264368672).

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

462214368 is a wasteful number, since it uses less digits than its factorization.

462214368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 462214368 is about 21499.1713328677. The cubic root of 462214368 is about 773.1809535940.

The spelling of 462214368 in words is "four hundred sixty-two million, two hundred fourteen thousand, three hundred sixty-eight".