432019920 has 40 divisors (see below), whose sum is σ = 1339262496. Its totient is φ = 115205248.

The previous prime is 432019919. The next prime is 432019921. The reversal of 432019920 is 29910234.

It is an interprime number because it is at equal distance from previous prime (432019919) and next prime (432019921).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×432019920² = 373282422553612800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (432019921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 899802 + ... + 900281.

Almost surely, 2^432019920 is an apocalyptic number.

432019920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432019920 is an abundant number, since it is smaller than the sum of its proper divisors (907242576).

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

432019920 is a wasteful number, since it uses less digits than its factorization.

432019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800099 (or 1800093 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 432019920 is about 20785.0888860260. The cubic root of 432019920 is about 755.9642490302.

The spelling of 432019920 in words is "four hundred thirty-two million, nineteen thousand, nine hundred twenty".