495587840400 has 225 divisors, whose sum is σ = 1779079881073. Its totient is φ = 132122966400.

The previous prime is 495587840381. The next prime is 495587840443. The reversal of 495587840400 is 4048785594.

It is a happy number.

The square root of 495587840400 is 703980.

It is a perfect power (a square), and thus also a powerful number.

495587840400 is a `hidden beast` number, since 4 + 9 + 558 + 7 + 8 + 40 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 178411622544 + 317176217856 = 422388^2 + 563184^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 126714445 + ... + 126718355.

Almost surely, 2^495587840400 is an apocalyptic number.

495587840400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

495587840400 is the 703980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495587840400

495587840400 is an abundant number, since it is smaller than the sum of its proper divisors (1283492040673).

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

495587840400 is an frugal number, since it uses more digits than its factorization.

495587840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 495587840400 in words is "four hundred ninety-five billion, five hundred eighty-seven million, eight hundred forty thousand, four hundred".