456006551 has 48 divisors (see below), whose sum is σ = 629873664. Its totient is φ = 318816000.

The previous prime is 456006511. The next prime is 456006553. The reversal of 456006551 is 155600654.

It is not a de Polignac number, because 456006551 - 2¹⁰ = 456005527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456006553) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1682546 + ... + 1682816.

It is an arithmetic number, because the mean of its divisors is an integer number (13122368).

Almost surely, 2^456006551 is an apocalyptic number.

456006551 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

456006551 is a deficient number, since it is larger than the sum of its proper divisors (173867113).

456006551 is a wasteful number, since it uses less digits than its factorization.

456006551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 456006551 is about 21354.3098928530. The cubic root of 456006551 is about 769.7039121340.

The spelling of 456006551 in words is "four hundred fifty-six million, six thousand, five hundred fifty-one".