421881600 has 432 divisors, whose sum is σ = 1650505472. Its totient is φ = 92897280.

The previous prime is 421881599. The next prime is 421881601. The reversal of 421881600 is 6188124.

It is an interprime number because it is at equal distance from previous prime (421881599) and next prime (421881601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421881601) 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 47 ways as a sum of consecutive naturals, for example, 5779164 + ... + 5779236.

Almost surely, 2^421881600 is an apocalyptic number.

421881600 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 421881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825252736).

421881600 is an abundant number, since it is smaller than the sum of its proper divisors (1228623872).

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

421881600 is a wasteful number, since it uses less digits than its factorization.

421881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 421881600 is about 20539.7565710989. The cubic root of 421881600 is about 750.0039110907.

The spelling of 421881600 in words is "four hundred twenty-one million, eight hundred eighty-one thousand, six hundred".