420106400 has 144 divisors (see below), whose sum is σ = 1196798400. Its totient is φ = 143942400.

The previous prime is 420106391. The next prime is 420106411. The reversal of 420106400 is 4601024.

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, 273635 + ... + 275165.

It is an arithmetic number, because the mean of its divisors is an integer number (8311100).

Almost surely, 2^420106400 is an apocalyptic number.

420106400 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 420106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598399200).

420106400 is an abundant number, since it is smaller than the sum of its proper divisors (776692000).

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

420106400 is a wasteful number, since it uses less digits than its factorization.

420106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420106400 is about 20496.4972617274. The cubic root of 420106400 is about 748.9504727492.

Adding to 420106400 its reverse (4601024), we get a palindrome (424707424).

The spelling of 420106400 in words is "four hundred twenty million, one hundred six thousand, four hundred".