420020400 has 120 divisors (see below), whose sum is σ = 1378443024. Its totient is φ = 109260800.

The previous prime is 420020399. The next prime is 420020407. The reversal of 420020400 is 4020024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (420020407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44932 + ... + 53468.

Almost surely, 2^420020400 is an apocalyptic number.

420020400 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 420020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689221512).

420020400 is an abundant number, since it is smaller than the sum of its proper divisors (958422624).

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

420020400 is a wasteful number, since it uses less digits than its factorization.

420020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8599 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 420020400 is about 20494.3992349129. The cubic root of 420020400 is about 748.8993633666.

Adding to 420020400 its reverse (4020024), we get a palindrome (424040424).

The spelling of 420020400 in words is "four hundred twenty million, twenty thousand, four hundred".