423356400 has 180 divisors, whose sum is σ = 1533340848. Its totient is φ = 107965440.

The previous prime is 423356393. The next prime is 423356407. The reversal of 423356400 is 4653324.

It is an interprime number because it is at equal distance from previous prime (423356393) and next prime (423356407).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423356407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80244 + ... + 85356.

Almost surely, 2^423356400 is an apocalyptic number.

423356400 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 423356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766670424).

423356400 is an abundant number, since it is smaller than the sum of its proper divisors (1109984448).

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

423356400 is a wasteful number, since it uses less digits than its factorization.

423356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 423356400 is about 20575.6263574162. The cubic root of 423356400 is about 750.8768411333.

The spelling of 423356400 in words is "four hundred twenty-three million, three hundred fifty-six thousand, four hundred".