432487429920 has 576 divisors, whose sum is σ = 1896303104640. Its totient is φ = 91249514496.

The previous prime is 432487429897. The next prime is 432487429921. The reversal of 432487429920 is 29924784234.

432487429920 is a `hidden beast` number, since 4 + 32 + 487 + 42 + 9 + 92 + 0 = 666.

It is a super-2 number, since 2×432487429920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (432487429921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2673259 + ... + 2830421.

It is an arithmetic number, because the mean of its divisors is an integer number (3292192890).

Almost surely, 2^432487429920 is an apocalyptic number.

432487429920 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 432487429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948151552320).

432487429920 is an abundant number, since it is smaller than the sum of its proper divisors (1463815674720).

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

432487429920 is a wasteful number, since it uses less digits than its factorization.

432487429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157214 (or 157193 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 432487429920 in words is "four hundred thirty-two billion, four hundred eighty-seven million, four hundred twenty-nine thousand, nine hundred twenty".