495947424000 has 1728 divisors, whose sum is σ = 2093788569600. Its totient is φ = 103348224000.

The previous prime is 495947423999. The next prime is 495947424001. The reversal of 495947424000 is 424749594.

It is an interprime number because it is at equal distance from previous prime (495947423999) and next prime (495947424001).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495947424001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2770655911 + ... + 2770656089.

It is an arithmetic number, because the mean of its divisors is an integer number (1211683200).

Almost surely, 2^495947424000 is an apocalyptic number.

495947424000 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 495947424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046894284800).

495947424000 is an abundant number, since it is smaller than the sum of its proper divisors (1597841145600).

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

495947424000 is a wasteful number, since it uses less digits than its factorization.

495947424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 495947424000 in words is "four hundred ninety-five billion, nine hundred forty-seven million, four hundred twenty-four thousand".