495941952 has 224 divisors, whose sum is σ = 1597639680. Its totient is φ = 133816320.

The previous prime is 495941951. The next prime is 495941959. The reversal of 495941952 is 259149594.

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 (495941951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681813 + ... + 682539.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^495941952 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 495941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

495941952 is an abundant number, since it is smaller than the sum of its proper divisors (1101697728).

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

495941952 is a wasteful number, since it uses less digits than its factorization.

495941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 495941952 is about 22269.7541971168. The cubic root of 495941952 is about 791.5474406652.

The spelling of 495941952 in words is "four hundred ninety-five million, nine hundred forty-one thousand, nine hundred fifty-two".