1407 has 8 divisors (see below), whose sum is σ = 2176. Its totient is φ = 792.

The previous prime is 1399. The next prime is 1409. The reversal of 1407 is 7041.

1407 = T₁₃ + T₁₄ + ... + T₂₁.

1407 is nontrivially palindromic in base 5 and base 14.

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

It is not a de Polignac number, because 1407 - 2³ = 1399 is a prime.

It is the 38-th Hogben number.

It is a Duffinian number.

1407 is an undulating number in base 14.

It is a plaindrome in base 4, base 8 and base 16.

It is a nialpdrome in base 12 and base 13.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1392 and 1401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409) by changing a digit.

It is a nontrivial repunit in base 37.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 54.

It is an arithmetic number, because the mean of its divisors is an integer number (272).

1407 is a deficient number, since it is larger than the sum of its proper divisors (769).

1407 is an equidigital number, since it uses as much as digits as its factorization.

1407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1407 is about 37.5099986670. The cubic root of 1407 is about 11.2055032479.

Adding to 1407 its reverse (7041), we get a palindrome (8448).

The spelling of 1407 in words is "one thousand, four hundred seven", and thus it is an iban number.