406464135 has 128 divisors (see below), whose sum is σ = 870580224. Its totient is φ = 156764160.

The previous prime is 406464089. The next prime is 406464151. The reversal of 406464135 is 531464604.

It is not a de Polignac number, because 406464135 - 2⁷ = 406464007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 406464096 and 406464105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2493564 + ... + 2493726.

It is an arithmetic number, because the mean of its divisors is an integer number (6801408).

Almost surely, 2^406464135 is an apocalyptic number.

406464135 is an abundant number, since it is smaller than the sum of its proper divisors (464116089).

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

406464135 is a wasteful number, since it uses less digits than its factorization.

406464135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 406464135 is about 20160.9557065135. The cubic root of 406464135 is about 740.7541222646.

The spelling of 406464135 in words is "four hundred six million, four hundred sixty-four thousand, one hundred thirty-five".