492528003840 has 720 divisors, whose sum is σ = 1884834439488. Its totient is φ = 122369605632.

The previous prime is 492528003833. The next prime is 492528003887. The reversal of 492528003840 is 48300825294.

492528003840 is a `hidden beast` number, since 4 + 92 + 528 + 0 + 0 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181542324 + ... + 181545036.

Almost surely, 2^492528003840 is an apocalyptic number.

492528003840 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 492528003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942417219744).

492528003840 is an abundant number, since it is smaller than the sum of its proper divisors (1392306435648).

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

492528003840 is a wasteful number, since it uses less digits than its factorization.

492528003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 492528003840 in words is "four hundred ninety-two billion, five hundred twenty-eight million, three thousand, eight hundred forty".