432475406160 has 320 divisors, whose sum is σ = 1591653127680. Its totient is φ = 95044239360.

The previous prime is 432475406149. The next prime is 432475406171. The reversal of 432475406160 is 61604574234.

It is a happy number.

432475406160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (432475406149) and next prime (432475406171).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11723104 + ... + 11759936.

It is an arithmetic number, because the mean of its divisors is an integer number (4973916024).

Almost surely, 2^432475406160 is an apocalyptic number.

432475406160 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 432475406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795826563840).

432475406160 is an abundant number, since it is smaller than the sum of its proper divisors (1159177721520).

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

432475406160 is a wasteful number, since it uses less digits than its factorization.

432475406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37126 (or 37120 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 432475406160 in words is "four hundred thirty-two billion, four hundred seventy-five million, four hundred six thousand, one hundred sixty".