421416000 has 224 divisors, whose sum is σ = 1546920960. Its totient is φ = 112320000.

The previous prime is 421415993. The next prime is 421416019. The reversal of 421416000 is 614124.

421416000 is a `hidden beast` number, since 4 + 21 + 41 + 600 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215025 + ... + 216975.

Almost surely, 2^421416000 is an apocalyptic number.

421416000 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 421416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773460480).

421416000 is an abundant number, since it is smaller than the sum of its proper divisors (1125504960).

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

421416000 is a wasteful number, since it uses less digits than its factorization.

421416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1961 counting only the distinct ones).

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

The square root of 421416000 is about 20528.4193254132. The cubic root of 421416000 is about 749.7279012950.

The spelling of 421416000 in words is "four hundred twenty-one million, four hundred sixteen thousand".