432051960 has 256 divisors, whose sum is σ = 1425346560. Its totient is φ = 104509440.

The previous prime is 432051931. The next prime is 432051967. The reversal of 432051960 is 69150234.

It is a super-2 number, since 2×432051960² = 373337792279683200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432051967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5918484 + ... + 5918556.

It is an arithmetic number, because the mean of its divisors is an integer number (5567760).

Almost surely, 2^432051960 is an apocalyptic number.

432051960 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 432051960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712673280).

432051960 is an abundant number, since it is smaller than the sum of its proper divisors (993294600).

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

432051960 is a wasteful number, since it uses less digits than its factorization.

432051960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 432051960 is about 20785.8596165759. The cubic root of 432051960 is about 755.9829368227.

It can be divided in two parts, 4320 and 51960, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 432051960 in words is "four hundred thirty-two million, fifty-one thousand, nine hundred sixty".