490457314152 has 48 divisors (see below), whose sum is σ = 1430500502340. Its totient is φ = 150909942528.

The previous prime is 490457314091. The next prime is 490457314177. The reversal of 490457314152 is 251413754094.

490457314152 is a `hidden beast` number, since 4 + 9 + 0 + 457 + 3 + 141 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 429672384036 + 60784930116 = 655494^2 + 246546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 490457314098 and 490457314107.

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 11 ways as a sum of consecutive naturals, for example, 261995493 + ... + 261997364.

Almost surely, 2^490457314152 is an apocalyptic number.

It is an amenable number.

490457314152 is an abundant number, since it is smaller than the sum of its proper divisors (940043188188).

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

490457314152 is a wasteful number, since it uses less digits than its factorization.

490457314152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523992882 (or 523992875 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 490457 and 314152, that added together give a square (804609 = 897²).

The spelling of 490457314152 in words is "four hundred ninety billion, four hundred fifty-seven million, three hundred fourteen thousand, one hundred fifty-two".