480356451 has 12 divisors (see below), whose sum is σ = 710771880. Its totient is φ = 312426720.

The previous prime is 480356431. The next prime is 480356467. The reversal of 480356451 is 154653084.

It is a happy number.

480356451 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 5 + 645 + 1 = 666.

It is not a de Polignac number, because 480356451 - 2⁷ = 480356323 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (480356411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 650521 + ... + 651258.

It is an arithmetic number, because the mean of its divisors is an integer number (59230990).

Almost surely, 2^480356451 is an apocalyptic number.

480356451 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

480356451 is a deficient number, since it is larger than the sum of its proper divisors (230415429).

480356451 is a wasteful number, since it uses less digits than its factorization.

480356451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301826 (or 1301823 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 480356451 is about 21917.0356344101. The cubic root of 480356451 is about 783.1672939564.

The spelling of 480356451 in words is "four hundred eighty million, three hundred fifty-six thousand, four hundred fifty-one".