420260400 has 600 divisors, whose sum is σ = 1841891040. Its totient is φ = 89579520.

The previous prime is 420260389. The next prime is 420260413. The reversal of 420260400 is 4062024.

420260400 is a `hidden beast` number, since 4 + 2 + 0 + 260 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3855546 + ... + 3855654.

Almost surely, 2^420260400 is an apocalyptic number.

420260400 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 420260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920945520).

420260400 is an abundant number, since it is smaller than the sum of its proper divisors (1421630640).

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

420260400 is a wasteful number, since it uses less digits than its factorization.

420260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420260400 is about 20500.2536569673. The cubic root of 420260400 is about 749.0419767764.

The spelling of 420260400 in words is "four hundred twenty million, two hundred sixty thousand, four hundred".