423532800 has 540 divisors, whose sum is σ = 1686749680. Its totient is φ = 104509440.

The previous prime is 423532793. The next prime is 423532817. The reversal of 423532800 is 8235324.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9849579 + ... + 9849621.

Almost surely, 2^423532800 is an apocalyptic number.

423532800 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 423532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843374840).

423532800 is an abundant number, since it is smaller than the sum of its proper divisors (1263216880).

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

423532800 is a wasteful number, since it uses less digits than its factorization.

423532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 423532800 is about 20579.9125362573. The cubic root of 423532800 is about 750.9811159889.

The spelling of 423532800 in words is "four hundred twenty-three million, five hundred thirty-two thousand, eight hundred".