432249696000 has 1440 divisors, whose sum is σ = 1731584574720. Its totient is φ = 106748928000.

The previous prime is 432249695993. The next prime is 432249696007. The reversal of 432249696000 is 696942234.

432249696000 is a `hidden beast` number, since 4 + 32 + 2 + 4 + 9 + 6 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (432249695993) and next prime (432249696007).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432249696007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3299615935 + ... + 3299616065.

It is an arithmetic number, because the mean of its divisors is an integer number (1202489288).

Almost surely, 2^432249696000 is an apocalyptic number.

432249696000 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 432249696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865792287360).

432249696000 is an abundant number, since it is smaller than the sum of its proper divisors (1299334878720).

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

432249696000 is a wasteful number, since it uses less digits than its factorization.

432249696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 432249696000 in words is "four hundred thirty-two billion, two hundred forty-nine million, six hundred ninety-six thousand".