420411200 has 84 divisors (see below), whose sum is σ = 1128564672. Its totient is φ = 152870400.

The previous prime is 420411197. The next prime is 420411247. The reversal of 420411200 is 2114024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5657 + ... + 29543.

Almost surely, 2^420411200 is an apocalyptic number.

420411200 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 420411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564282336).

420411200 is an abundant number, since it is smaller than the sum of its proper divisors (708153472).

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

420411200 is a wasteful number, since it uses less digits than its factorization.

420411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23920 (or 23905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 420411200 is about 20503.9313303571. The cubic root of 420411200 is about 749.1315577619.

Adding to 420411200 its reverse (2114024), we get a palindrome (422525224).

The spelling of 420411200 in words is "four hundred twenty million, four hundred eleven thousand, two hundred".