421362000 has 420 divisors, whose sum is σ = 1622724636. Its totient is φ = 105753600.

The previous prime is 421361999. The next prime is 421362023. The reversal of 421362000 is 263124.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

421362000 is a `hidden beast` number, since 42 + 1 + 3 + 620 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39237696 + 382124304 = 6264^2 + 19548^2 .

It is a super-3 number, since 3×421362000³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 83 ways as a sum of consecutive naturals, for example, 24785992 + ... + 24786008.

Almost surely, 2^421362000 is an apocalyptic number.

421362000 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 421362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811362318).

421362000 is an abundant number, since it is smaller than the sum of its proper divisors (1201362636).

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

421362000 is an equidigital number, since it uses as much as digits as its factorization.

421362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 421362000 is about 20527.1040334481. The cubic root of 421362000 is about 749.6958766954.

The spelling of 421362000 in words is "four hundred twenty-one million, three hundred sixty-two thousand".