421980000 has 240 divisors, whose sum is σ = 1493409456. Its totient is φ = 103680000.

The previous prime is 421979993. The next prime is 421980017. The reversal of 421980000 is 89124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779730 + ... + 780270.

Almost surely, 2^421980000 is an apocalyptic number.

421980000 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 421980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746704728).

421980000 is an abundant number, since it is smaller than the sum of its proper divisors (1071429456).

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

421980000 is a wasteful number, since it uses less digits than its factorization.

421980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 421980000 is about 20542.1517860228. The cubic root of 421980000 is about 750.0622170608.

The spelling of 421980000 in words is "four hundred twenty-one million, nine hundred eighty thousand".