421896400 has 60 divisors (see below), whose sum is σ = 1017460672. Its totient is φ = 168117120.

The previous prime is 421896353. The next prime is 421896403. The reversal of 421896400 is 4698124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421896403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 111337 + ... + 115063.

Almost surely, 2^421896400 is an apocalyptic number.

421896400 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 421896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508730336).

421896400 is an abundant number, since it is smaller than the sum of its proper divisors (595564272).

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

421896400 is a wasteful number, since it uses less digits than its factorization.

421896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 421896400 is about 20540.1168448478. The cubic root of 421896400 is about 750.0126812671.

The spelling of 421896400 in words is "four hundred twenty-one million, eight hundred ninety-six thousand, four hundred".