495914016 has 96 divisors (see below), whose sum is σ = 1411397568. Its totient is φ = 151557120.

The previous prime is 495913991. The next prime is 495914033. The reversal of 495914016 is 610419594.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×495914016² = 491861422530496512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194671 + ... + 197201.

It is an arithmetic number, because the mean of its divisors is an integer number (14702058).

Almost surely, 2^495914016 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 495914016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705698784).

495914016 is an abundant number, since it is smaller than the sum of its proper divisors (915483552).

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

495914016 is a wasteful number, since it uses less digits than its factorization.

495914016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 495914016 is about 22269.1269698657. The cubic root of 495914016 is about 791.5325779819.

The spelling of 495914016 in words is "four hundred ninety-five million, nine hundred fourteen thousand, sixteen".