420410400 has 144 divisors (see below), whose sum is σ = 1392098400. Its totient is φ = 110172160.

The previous prime is 420410381. The next prime is 420410413. The reversal of 420410400 is 4014024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420410400.

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, 140116 + ... + 143084.

It is an arithmetic number, because the mean of its divisors is an integer number (9667350).

Almost surely, 2^420410400 is an apocalyptic number.

420410400 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 420410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696049200).

420410400 is an abundant number, since it is smaller than the sum of its proper divisors (971688000).

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

420410400 is a wasteful number, since it uses less digits than its factorization.

420410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420410400 is about 20503.9118218939. The cubic root of 420410400 is about 749.1310825877.

Adding to 420410400 its reverse (4014024), we get a palindrome (424424424).

The spelling of 420410400 in words is "four hundred twenty million, four hundred ten thousand, four hundred".