407496 has 16 divisors (see below), whose sum is σ = 1018800. Its totient is φ = 135824.

The previous prime is 407489. The next prime is 407501. The reversal of 407496 is 694704.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407496.

It is an unprimeable number.

407496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8466 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (63675).

2⁴⁰⁷⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

407496 is an abundant number, since it is smaller than the sum of its proper divisors (611304).

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

407496 is a wasteful number, since it uses less digits than its factorization.

407496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16988 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 407496 is about 638.3541336907. The cubic root of 407496 is about 74.1380427915.

It can be divided in two parts, 40749 and 6, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 407496 in words is "four hundred seven thousand, four hundred ninety-six".