421038000 has 400 divisors, whose sum is σ = 1600986816. Its totient is φ = 106444800.

The previous prime is 421037999. The next prime is 421038017. The reversal of 421038000 is 830124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3725944 + ... + 3726056.

Almost surely, 2^421038000 is an apocalyptic number.

421038000 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 421038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800493408).

421038000 is an abundant number, since it is smaller than the sum of its proper divisors (1179948816).

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

421038000 is a wasteful number, since it uses less digits than its factorization.

421038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 421038000 is about 20519.2105111283. The cubic root of 421038000 is about 749.5036716166.

Adding to 421038000 its reverse (830124), we get a palindrome (421868124).

The spelling of 421038000 in words is "four hundred twenty-one million, thirty-eight thousand".