432890999520 has 192 divisors, whose sum is σ = 1559083147776. Its totient is φ = 98903623680.

The previous prime is 432890999503. The next prime is 432890999539. The reversal of 432890999520 is 25999098234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8074242 + ... + 8127678.

It is an arithmetic number, because the mean of its divisors is an integer number (8120224728).

Almost surely, 2^432890999520 is an apocalyptic number.

432890999520 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 432890999520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779541573888).

432890999520 is an abundant number, since it is smaller than the sum of its proper divisors (1126192148256).

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

432890999520 is a wasteful number, since it uses less digits than its factorization.

432890999520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55873 (or 55865 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 432890999520 in words is "four hundred thirty-two billion, eight hundred ninety million, nine hundred ninety-nine thousand, five hundred twenty".