407490 has 48 divisors (see below), whose sum is σ = 1060992. Its totient is φ = 100096.

The previous prime is 407489. The next prime is 407501. The reversal of 407490 is 94704.

It is a self number, because there is not a number n which added to its sum of digits gives 407490.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8647 + ... + 8693.

It is an arithmetic number, because the mean of its divisors is an integer number (22104).

2⁴⁰⁷⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530496).

407490 is an abundant number, since it is smaller than the sum of its proper divisors (653502).

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

407490 is a wasteful number, since it uses less digits than its factorization.

407490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 407490 is about 638.3494340876. The cubic root of 407490 is about 74.1376789185.

The spelling of 407490 in words is "four hundred seven thousand, four hundred ninety".