495902736 has 360 divisors, whose sum is σ = 1775198880. Its totient is φ = 133249536.

The previous prime is 495902731. The next prime is 495902761. The reversal of 495902736 is 637209594.

It is a happy number.

495902736 is a `hidden beast` number, since 4 + 9 + 590 + 27 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 495902691 and 495902700.

It is not an unprimeable number, because it can be changed into a prime (495902731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3619660 + ... + 3619796.

It is an arithmetic number, because the mean of its divisors is an integer number (4931108).

Almost surely, 2^495902736 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 495902736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887599440).

495902736 is an abundant number, since it is smaller than the sum of its proper divisors (1279296144).

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

495902736 is a wasteful number, since it uses less digits than its factorization.

495902736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 495902736 is about 22268.8737029963. The cubic root of 495902736 is about 791.5265765684.

It can be divided in two parts, 49590 and 2736, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 495902736 in words is "four hundred ninety-five million, nine hundred two thousand, seven hundred thirty-six".