407745 has 48 divisors (see below), whose sum is σ = 825552. Its totient is φ = 184320.

The previous prime is 407741. The next prime is 407747. The reversal of 407745 is 547704.

It can be written as a sum of positive squares in 8 ways, for example, as 62001 + 345744 = 249^2 + 588^2 .

It is not a de Polignac number, because 407745 - 2² = 407741 is a prime.

It is a Curzon number.

407745 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (407741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9925 + ... + 9965.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2⁴⁰⁷⁷⁴⁵ is an apocalyptic number.

407745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

407745 is the 369-th octagonal number.

It is an amenable number.

407745 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

407745 is a wasteful number, since it uses less digits than its factorization.

407745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 407745 is about 638.5491367154. The cubic root of 407745 is about 74.1531403744.

The spelling of 407745 in words is "four hundred seven thousand, seven hundred forty-five".