495057780 has 324 divisors, whose sum is σ = 1839123468. Its totient is φ = 107412480.

The previous prime is 495057779. The next prime is 495057803. The reversal of 495057780 is 87750594.

It can be written as a sum of positive squares in 6 ways, for example, as 5143824 + 489913956 = 2268^2 + 22134^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 12074560 + ... + 12074600.

It is an arithmetic number, because the mean of its divisors is an integer number (5676307).

Almost surely, 2^495057780 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 495057780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919561734).

495057780 is an abundant number, since it is smaller than the sum of its proper divisors (1344065688).

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

495057780 is a wasteful number, since it uses less digits than its factorization.

495057780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 495057780 is about 22249.8939323315. The cubic root of 495057780 is about 791.0767670293.

The spelling of 495057780 in words is "four hundred ninety-five million, fifty-seven thousand, seven hundred eighty".