495402336 has 288 divisors, whose sum is σ = 1730356992. Its totient is φ = 132295680.

The previous prime is 495402319. The next prime is 495402343. The reversal of 495402336 is 633204594.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 495402336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946971 + ... + 947493.

It is an arithmetic number, because the mean of its divisors is an integer number (6008184).

Almost surely, 2^495402336 is an apocalyptic number.

495402336 is a gapful number since it is divisible by the number (46) 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 495402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865178496).

495402336 is an abundant number, since it is smaller than the sum of its proper divisors (1234954656).

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

495402336 is a wasteful number, since it uses less digits than its factorization.

495402336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 495402336 is about 22257.6354539291. The cubic root of 495402336 is about 791.2602520328.

The spelling of 495402336 in words is "four hundred ninety-five million, four hundred two thousand, three hundred thirty-six".