214461432 has 80 divisors (see below), whose sum is σ = 605266200. Its totient is φ = 70943040.

The previous prime is 214461427. The next prime is 214461451. The reversal of 214461432 is 234164412.

It is a happy number.

214461432 is a `hidden beast` number, since 2 + 1 + 44 + 614 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 214461396 and 214461405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88882 + ... + 91262.

Almost surely, 2^214461432 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 214461432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302633100).

214461432 is an abundant number, since it is smaller than the sum of its proper divisors (390804768).

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

214461432 is a wasteful number, since it uses less digits than its factorization.

214461432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2525 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 214461432 is about 14644.5017668748. The cubic root of 214461432 is about 598.5720040756.

The spelling of 214461432 in words is "two hundred fourteen million, four hundred sixty-one thousand, four hundred thirty-two".