495169920 has 192 divisors, whose sum is σ = 1954311840. Its totient is φ = 113172480.

The previous prime is 495169919. The next prime is 495169933. The reversal of 495169920 is 29961594.

495169920 is a `hidden beast` number, since 49 + 516 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34180 + ... + 46460.

Almost surely, 2^495169920 is an apocalyptic number.

495169920 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 495169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977155920).

495169920 is an abundant number, since it is smaller than the sum of its proper divisors (1459141920).

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

495169920 is a wasteful number, since it uses less digits than its factorization.

495169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12313 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 495169920 is about 22252.4138016531. The cubic root of 495169920 is about 791.1364938295.

The spelling of 495169920 in words is "four hundred ninety-five million, one hundred sixty-nine thousand, nine hundred twenty".