420400 has 30 divisors (see below), whose sum is σ = 1010972. Its totient is φ = 168000.

The previous prime is 420397. The next prime is 420419. The reversal of 420400 is 4024.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126 + ... + 925.

2⁴²⁰⁴⁰⁰ is an apocalyptic number.

420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420400 is an abundant number, since it is smaller than the sum of its proper divisors (590572).

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

420400 is a wasteful number, since it uses less digits than its factorization.

420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 420400 is about 648.3826030979. The cubic root of 420400 is about 74.9124905269.

Adding to 420400 its reverse (4024), we get a palindrome (424424).

It can be divided in two parts, 420 and 400, that added together give a triangular number (820 = T₄₀).

The spelling of 420400 in words is "four hundred twenty thousand, four hundred", and thus it is an iban number.