423792000 has 384 divisors, whose sum is σ = 1592791200. Its totient is φ = 111974400.

The previous prime is 423791999. The next prime is 423792001. The reversal of 423792000 is 297324.

It is an interprime number because it is at equal distance from previous prime (423791999) and next prime (423792001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423792001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887946 + ... + 3888054.

Almost surely, 2^423792000 is an apocalyptic number.

423792000 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 423792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796395600).

423792000 is an abundant number, since it is smaller than the sum of its proper divisors (1168999200).

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

423792000 is an equidigital number, since it uses as much as digits as its factorization.

423792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 423792000 is about 20586.2089759139. The cubic root of 423792000 is about 751.1342836693.

The spelling of 423792000 in words is "four hundred twenty-three million, seven hundred ninety-two thousand".