407484 has 96 divisors (see below), whose sum is σ = 1344000. Its totient is φ = 105840.

The previous prime is 407483. The next prime is 407489. The reversal of 407484 is 484704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37039 + ... + 37049.

It is an arithmetic number, because the mean of its divisors is an integer number (14000).

2⁴⁰⁷⁴⁸⁴ is an apocalyptic number.

407484 is a gapful number since it is divisible by the number (44) 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 407484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672000).

407484 is an abundant number, since it is smaller than the sum of its proper divisors (936516).

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

407484 is a wasteful number, since it uses less digits than its factorization.

407484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 407484 is about 638.3447344500. The cubic root of 407484 is about 74.1373150418.

The spelling of 407484 in words is "four hundred seven thousand, four hundred eighty-four".