407720 has 16 divisors (see below), whose sum is σ = 917460. Its totient is φ = 163072.

The previous prime is 407717. The next prime is 407723. The reversal of 407720 is 27704.

It is an interprime number because it is at equal distance from previous prime (407717) and next prime (407723).

It can be written as a sum of positive squares in 2 ways, for example, as 407044 + 676 = 638^2 + 26^2 .

It is a super-3 number, since 3×407720³ = 203332734538944000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 407692 and 407701.

It is not an unprimeable number, because it can be changed into a prime (407723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5057 + ... + 5136.

2⁴⁰⁷⁷²⁰ is an apocalyptic number.

407720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407720 is an abundant number, since it is smaller than the sum of its proper divisors (509740).

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

407720 is a wasteful number, since it uses less digits than its factorization.

407720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10204 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 407720 is about 638.5295607879. The cubic root of 407720 is about 74.1516248304.

The spelling of 407720 in words is "four hundred seven thousand, seven hundred twenty", and thus it is an iban number.