420505400 has 96 divisors (see below), whose sum is σ = 1134272640. Its totient is φ = 141989760.

The previous prime is 420505367. The next prime is 420505403. The reversal of 420505400 is 4505024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420505403) 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, 91559 + ... + 96041.

It is an arithmetic number, because the mean of its divisors is an integer number (11815340).

Almost surely, 2^420505400 is an apocalyptic number.

420505400 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 420505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567136320).

420505400 is an abundant number, since it is smaller than the sum of its proper divisors (713767240).

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

420505400 is a wasteful number, since it uses less digits than its factorization.

420505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 420505400 is about 20506.2283221464. The cubic root of 420505400 is about 749.1875053062.

The spelling of 420505400 in words is "four hundred twenty million, five hundred five thousand, four hundred".