421209600 has 240 divisors, whose sum is σ = 1591231488. Its totient is φ = 96215040.

The previous prime is 421209583. The next prime is 421209631. The reversal of 421209600 is 6902124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 268017 + ... + 269583.

Almost surely, 2^421209600 is an apocalyptic number.

421209600 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 421209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795615744).

421209600 is an abundant number, since it is smaller than the sum of its proper divisors (1170021888).

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

421209600 is a wasteful number, since it uses less digits than its factorization.

421209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 421209600 is about 20523.3915325903. The cubic root of 421209600 is about 749.6054813987.

The spelling of 421209600 in words is "four hundred twenty-one million, two hundred nine thousand, six hundred".