420876000 has 288 divisors, whose sum is σ = 1552588128. Its totient is φ = 111974400.

The previous prime is 420875981. The next prime is 420876031. The reversal of 420876000 is 678024.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971784 + ... + 972216.

It is an arithmetic number, because the mean of its divisors is an integer number (5390931).

Almost surely, 2^420876000 is an apocalyptic number.

420876000 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 420876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776294064).

420876000 is an abundant number, since it is smaller than the sum of its proper divisors (1131712128).

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

420876000 is an equidigital number, since it uses as much as digits as its factorization.

420876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 420876000 is about 20515.2626110416. The cubic root of 420876000 is about 749.4075320990.

It can be divided in two parts, 4208 and 76000, that added together give a palindrome (80208).

The spelling of 420876000 in words is "four hundred twenty million, eight hundred seventy-six thousand".