361407 has 8 divisors (see below), whose sum is σ = 491184. Its totient is φ = 236288.

The previous prime is 361373. The next prime is 361409. The reversal of 361407 is 704163.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 361407 - 2⁷ = 361279 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361407.

It is not an unprimeable number, because it can be changed into a prime (361409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 978 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (61398).

2³⁶¹⁴⁰⁷ is an apocalyptic number.

361407 is a deficient number, since it is larger than the sum of its proper divisors (129777).

361407 is a wasteful number, since it uses less digits than its factorization.

361407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 361407 is about 601.1713566031. The cubic root of 361407 is about 71.2304224451.

The spelling of 361407 in words is "three hundred sixty-one thousand, four hundred seven".