421290000 has 300 divisors, whose sum is σ = 1530909952. Its totient is φ = 108000000.

The previous prime is 421289959. The next prime is 421290013. The reversal of 421290000 is 92124.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 2789925 + ... + 2790075.

Almost surely, 2^421290000 is an apocalyptic number.

421290000 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 421290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765454976).

421290000 is an abundant number, since it is smaller than the sum of its proper divisors (1109619952).

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

421290000 is a wasteful number, since it uses less digits than its factorization.

421290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 421290000 is about 20525.3501797168. The cubic root of 421290000 is about 749.6531729727.

The spelling of 421290000 in words is "four hundred twenty-one million, two hundred ninety thousand".