432012000 has 384 divisors, whose sum is σ = 1673118720. Its totient is φ = 95385600.

The previous prime is 432011989. The next prime is 432012011. The reversal of 432012000 is 210234.

It is an interprime number because it is at equal distance from previous prime (432011989) and next prime (432012011).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3107931 + ... + 3108069.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^432012000 is an apocalyptic number.

432012000 is a gapful number since it is divisible by the number (40) 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 432012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

432012000 is an abundant number, since it is smaller than the sum of its proper divisors (1241106720).

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

432012000 is a wasteful number, since it uses less digits than its factorization.

432012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 432012000 is about 20784.8983639565. The cubic root of 432012000 is about 755.9596294335.

Adding to 432012000 its reverse (210234), we get a palindrome (432222234).

It can be divided in two parts, 4320 and 12000, that multiplied together give a square (51840000 = 7200²).

The spelling of 432012000 in words is "four hundred thirty-two million, twelve thousand".