420267400 has 48 divisors (see below), whose sum is σ = 1116714240. Its totient is φ = 144091200.

The previous prime is 420267371. The next prime is 420267401. The reversal of 420267400 is 4762024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420267401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 148696 + ... + 151495.

It is an arithmetic number, because the mean of its divisors is an integer number (23264880).

Almost surely, 2^420267400 is an apocalyptic number.

420267400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420267400 is an abundant number, since it is smaller than the sum of its proper divisors (696446840).

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

420267400 is a wasteful number, since it uses less digits than its factorization.

420267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300214 (or 300205 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 420267400 is about 20500.4243858511. The cubic root of 420267400 is about 749.0461355192.

The spelling of 420267400 in words is "four hundred twenty million, two hundred sixty-seven thousand, four hundred".