432849120 has 192 divisors, whose sum is σ = 1509145344. Its totient is φ = 103403520.

The previous prime is 432849113. The next prime is 432849143. The reversal of 432849120 is 21948234.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

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, 384879 + ... + 386001.

It is an arithmetic number, because the mean of its divisors is an integer number (7860132).

Almost surely, 2^432849120 is an apocalyptic number.

432849120 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 432849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754572672).

432849120 is an abundant number, since it is smaller than the sum of its proper divisors (1076296224).

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

432849120 is a wasteful number, since it uses less digits than its factorization.

432849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 432849120 is about 20805.0263157728. The cubic root of 432849120 is about 756.4475947487.

The spelling of 432849120 in words is "four hundred thirty-two million, eight hundred forty-nine thousand, one hundred twenty".