421478400 has 360 divisors, whose sum is σ = 1625243200. Its totient is φ = 96337920.

The previous prime is 421478377. The next prime is 421478411. The reversal of 421478400 is 4874124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60211197 + ... + 60211203.

Almost surely, 2^421478400 is an apocalyptic number.

421478400 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 421478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812621600).

421478400 is an abundant number, since it is smaller than the sum of its proper divisors (1203764800).

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

421478400 is an frugal number, since it uses more digits than its factorization.

421478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 421478400 is about 20529.9391134022. The cubic root of 421478400 is about 749.7649040920.

The spelling of 421478400 in words is "four hundred twenty-one million, four hundred seventy-eight thousand, four hundred".