437420 has 12 divisors (see below), whose sum is σ = 918624. Its totient is φ = 174960.

The previous prime is 437413. The next prime is 437467. The reversal of 437420 is 24734.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 21871 = 437420 / (4 + 3 + 7 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 437392 and 437401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 437420.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10916 + ... + 10955.

It is an arithmetic number, because the mean of its divisors is an integer number (76552).

2⁴³⁷⁴²⁰ is an apocalyptic number.

It is an amenable number.

437420 is an abundant number, since it is smaller than the sum of its proper divisors (481204).

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

437420 is a wasteful number, since it uses less digits than its factorization.

437420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21880 (or 21878 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 437420 is about 661.3773506857. The cubic root of 437420 is about 75.9100968316.

Subtracting from 437420 its reverse (24734), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 437420 in words is "four hundred thirty-seven thousand, four hundred twenty".