423782400 has 288 divisors, whose sum is σ = 1462406400. Its totient is φ = 108134400.

The previous prime is 423782393. The next prime is 423782413. The reversal of 423782400 is 4287324.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761556 + ... + 4761644.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^423782400 is an apocalyptic number.

423782400 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 423782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

423782400 is an abundant number, since it is smaller than the sum of its proper divisors (1038624000).

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

423782400 is a wasteful number, since it uses less digits than its factorization.

423782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 423782400 is about 20585.9758087879. The cubic root of 423782400 is about 751.1286119061.

The spelling of 423782400 in words is "four hundred twenty-three million, seven hundred eighty-two thousand, four hundred".