407352 has 32 divisors (see below), whose sum is σ = 1111680. Its totient is φ = 123360.

The previous prime is 407347. The next prime is 407357. The reversal of 407352 is 253704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (407347) and next prime (407357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407357) by changing a digit.

407352 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 7 ways as a sum of consecutive naturals, for example, 508 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (34740).

2⁴⁰⁷³⁵² is an apocalyptic number.

It is an amenable number.

407352 is an abundant number, since it is smaller than the sum of its proper divisors (704328).

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

407352 is a wasteful number, since it uses less digits than its factorization.

407352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 407352 is about 638.2413336662. The cubic root of 407352 is about 74.1293088523.

The spelling of 407352 in words is "four hundred seven thousand, three hundred fifty-two".