423937200 has 120 divisors (see below), whose sum is σ = 1362944016. Its totient is φ = 112640000.

The previous prime is 423937169. The next prime is 423937201. The reversal of 423937200 is 2739324.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (423937201) 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 23 ways as a sum of consecutive naturals, for example, 480760 + ... + 481640.

Almost surely, 2^423937200 is an apocalyptic number.

423937200 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 423937200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681472008).

423937200 is an abundant number, since it is smaller than the sum of its proper divisors (939006816).

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

423937200 is a wasteful number, since it uses less digits than its factorization.

423937200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 423937200 is about 20589.7353067008. The cubic root of 423937200 is about 751.2200586441.

The spelling of 423937200 in words is "four hundred twenty-three million, nine hundred thirty-seven thousand, two hundred".