407334 has 16 divisors (see below), whose sum is σ = 843120. Its totient is φ = 131040.

The previous prime is 407321. The next prime is 407347. The reversal of 407334 is 433704.

It is an interprime number because it is at equal distance from previous prime (407321) and next prime (407347).

It is a self number, because there is not a number n which added to its sum of digits gives 407334.

It is a congruent number.

It is an unprimeable number.

407334 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, 997 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (52695).

2⁴⁰⁷³³⁴ is an apocalyptic number.

407334 is an abundant number, since it is smaller than the sum of its proper divisors (435786).

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

407334 is a wasteful number, since it uses less digits than its factorization.

407334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 407334 is about 638.2272322614. The cubic root of 407334 is about 74.1282169651.

It can be divided in two parts, 407 and 334, that added together give a triangular number (741 = T₃₈).

The spelling of 407334 in words is "four hundred seven thousand, three hundred thirty-four".