407480 has 32 divisors (see below), whose sum is σ = 937440. Its totient is φ = 159360.

The previous prime is 407471. The next prime is 407483. The reversal of 407480 is 84704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2357 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁴⁰⁷⁴⁸⁰ is an apocalyptic number.

407480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

407480 is an abundant number, since it is smaller than the sum of its proper divisors (529960).

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

407480 is a wasteful number, since it uses less digits than its factorization.

407480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 407480 is about 638.3416013390. The cubic root of 407480 is about 74.1370724554.

The spelling of 407480 in words is "four hundred seven thousand, four hundred eighty".