432214020 has 288 divisors, whose sum is σ = 1572200448. Its totient is φ = 94058496.

The previous prime is 432214009. The next prime is 432214037. The reversal of 432214020 is 20412234.

432214020 is a `hidden beast` number, since 43 + 221 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 432213984 and 432214002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3403197 + ... + 3403323.

Almost surely, 2^432214020 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 432214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786100224).

432214020 is an abundant number, since it is smaller than the sum of its proper divisors (1139986428).

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

432214020 is a wasteful number, since it uses less digits than its factorization.

432214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 432214020 is about 20789.7575743442. The cubic root of 432214020 is about 756.0774465045.

Adding to 432214020 its reverse (20412234), we get a palindrome (452626254).

The spelling of 432214020 in words is "four hundred thirty-two million, two hundred fourteen thousand, twenty".