407064 has 32 divisors (see below), whose sum is σ = 1163520. Its totient is φ = 116256.

The previous prime is 407059. The next prime is 407083. The reversal of 407064 is 460704.

407064 = T₃₁₅ + T₃₁₆ + ... + T₃₂₂.

It is a super-2 number, since 2×407064² = 331402200192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 407064.

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 407064.

It is an unprimeable number.

407064 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, 1044 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (36360).

2⁴⁰⁷⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

407064 is an abundant number, since it is smaller than the sum of its proper divisors (756456).

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

407064 is a wasteful number, since it uses less digits than its factorization.

407064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 407064 is about 638.0156737887. The cubic root of 407064 is about 74.1118347968. Note that the first 3 decimals are identical.

Adding to 407064 its reverse (460704), we get a palindrome (867768).

The spelling of 407064 in words is "four hundred seven thousand, sixty-four".