432354540 has 96 divisors (see below), whose sum is σ = 1285792704. Its totient is φ = 108175360.

The previous prime is 432354491. The next prime is 432354563. The reversal of 432354540 is 45453234.

It is a super-2 number, since 2×432354540² = 373860896517223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 432354498 and 432354507.

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, 567760 + ... + 568520.

It is an arithmetic number, because the mean of its divisors is an integer number (13393674).

Almost surely, 2^432354540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432354540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642896352).

432354540 is an abundant number, since it is smaller than the sum of its proper divisors (853438164).

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

432354540 is a wasteful number, since it uses less digits than its factorization.

432354540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 432354540 is about 20793.1368484892. The cubic root of 432354540 is about 756.1593754302.

The spelling of 432354540 in words is "four hundred thirty-two million, three hundred fifty-four thousand, five hundred forty".