421070400 has 441 divisors, whose sum is σ = 1639496721. Its totient is φ = 106375680.

The previous prime is 421070393. The next prime is 421070413. The reversal of 421070400 is 4070124.

It is a happy number.

The square root of 421070400 is 20520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 151585344 + 269485056 = 12312^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22161591 + ... + 22161609.

Almost surely, 2^421070400 is an apocalyptic number.

421070400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

421070400 is the 20520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421070400

421070400 is an abundant number, since it is smaller than the sum of its proper divisors (1218426321).

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

421070400 is an equidigital number, since it uses as much as digits as its factorization.

421070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The cubic root of 421070400 is about 749.5228965608.

The spelling of 421070400 in words is "four hundred twenty-one million, seventy thousand, four hundred".