407620 has 24 divisors (see below), whose sum is σ = 869400. Its totient is φ = 160512.

The previous prime is 407599. The next prime is 407621. The reversal of 407620 is 26704.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 341056 = 258^2 + 584^2 .

It is not an unprimeable number, because it can be changed into a prime (407621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666 + ... + 1894.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2⁴⁰⁷⁶²⁰ is an apocalyptic number.

It is an amenable number.

407620 is an abundant number, since it is smaller than the sum of its proper divisors (461780).

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

407620 is a wasteful number, since it uses less digits than its factorization.

407620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 407620 is about 638.4512510756. The cubic root of 407620 is about 74.1455620351.

It can be divided in two parts, 4076 and 20, that added together give a 12-th power (4096 = 2¹²).

The spelling of 407620 in words is "four hundred seven thousand, six hundred twenty".