432213516 has 288 divisors, whose sum is σ = 1406522880. Its totient is φ = 114162048.

The previous prime is 432213451. The next prime is 432213521. The reversal of 432213516 is 615312234.

432213516 is a `hidden beast` number, since 432 + 213 + 5 + 16 = 666.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 432213516.

It is a congruent number.

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, 6450915 + ... + 6450981.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^432213516 is an apocalyptic number.

432213516 is a gapful number since it is divisible by the number (46) 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 432213516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703261440).

432213516 is an abundant number, since it is smaller than the sum of its proper divisors (974309364).

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

432213516 is a wasteful number, since it uses less digits than its factorization.

432213516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 432213516 is about 20789.7454529872. The cubic root of 432213516 is about 756.0771526198.

The spelling of 432213516 in words is "four hundred thirty-two million, two hundred thirteen thousand, five hundred sixteen".