495305526240 has 480 divisors, whose sum is σ = 2084598996480. Its totient is φ = 108289944576.

The previous prime is 495305526239. The next prime is 495305526277. The reversal of 495305526240 is 42625503594.

495305526240 is a `hidden beast` number, since 4 + 9 + 5 + 30 + 552 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1967871 + ... + 2205249.

It is an arithmetic number, because the mean of its divisors is an integer number (4342914576).

Almost surely, 2^495305526240 is an apocalyptic number.

495305526240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495305526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042299498240).

495305526240 is an abundant number, since it is smaller than the sum of its proper divisors (1589293470240).

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

495305526240 is a wasteful number, since it uses less digits than its factorization.

495305526240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237436 (or 237419 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 495305526240 in words is "four hundred ninety-five billion, three hundred five million, five hundred twenty-six thousand, two hundred forty".