421413000 has 128 divisors (see below), whose sum is σ = 1392318720. Its totient is φ = 105753600.

The previous prime is 421412941. The next prime is 421413011. The reversal of 421413000 is 314124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46869 + ... + 55131.

It is an arithmetic number, because the mean of its divisors is an integer number (10877490).

Almost surely, 2^421413000 is an apocalyptic number.

421413000 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 421413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696159360).

421413000 is an abundant number, since it is smaller than the sum of its proper divisors (970905720).

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

421413000 is a wasteful number, since it uses less digits than its factorization.

421413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 421413000 is about 20528.3462558483. The cubic root of 421413000 is about 749.7261222223.

Adding to 421413000 its reverse (314124), we get a palindrome (421727124).

The spelling of 421413000 in words is "four hundred twenty-one million, four hundred thirteen thousand".