464106456 has 128 divisors (see below), whose sum is σ = 1451980800. Its totient is φ = 136080000.

The previous prime is 464106389. The next prime is 464106463. The reversal of 464106456 is 654601464.

464106456 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 0 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 464106456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70506 + ... + 76806.

It is an arithmetic number, because the mean of its divisors is an integer number (11343600).

Almost surely, 2^464106456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464106456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725990400).

464106456 is an abundant number, since it is smaller than the sum of its proper divisors (987874344).

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

464106456 is a wasteful number, since it uses less digits than its factorization.

464106456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6348 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 464106456 is about 21543.1301346856. The cubic root of 464106456 is about 774.2345302137.

It can be divided in two parts, 46410 and 6456, that multiplied together give a triangular number (299622960 = T₂₄₄₇₉).

The spelling of 464106456 in words is "four hundred sixty-four million, one hundred six thousand, four hundred fifty-six".