421356000 has 384 divisors, whose sum is σ = 1547634816. Its totient is φ = 99532800.

The previous prime is 421355947. The next prime is 421356017. The reversal of 421356000 is 653124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5771964 + ... + 5772036.

It is an arithmetic number, because the mean of its divisors is an integer number (4030299).

Almost surely, 2^421356000 is an apocalyptic number.

421356000 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 421356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773817408).

421356000 is an abundant number, since it is smaller than the sum of its proper divisors (1126278816).

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

421356000 is a wasteful number, since it uses less digits than its factorization.

421356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 421356000 is about 20526.9578846940. The cubic root of 421356000 is about 749.6923182376.

It can be divided in two parts, 42135 and 6000, that multiplied together give a square (252810000 = 15900²).

The spelling of 421356000 in words is "four hundred twenty-one million, three hundred fifty-six thousand".