495677952 has 360 divisors, whose sum is σ = 1811217408. Its totient is φ = 127733760.

The previous prime is 495677893. The next prime is 495677953. The reversal of 495677952 is 259776594.

495677952 is a `hidden beast` number, since 4 + 9 + 567 + 79 + 5 + 2 = 666.

Its product of digits (4762800) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (495677953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3902913 + ... + 3903039.

Almost surely, 2^495677952 is an apocalyptic number.

495677952 is a gapful number since it is divisible by the number (42) 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 495677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905608704).

495677952 is an abundant number, since it is smaller than the sum of its proper divisors (1315539456).

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

495677952 is a wasteful number, since it uses less digits than its factorization.

495677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 495677952 is about 22263.8260862773. The cubic root of 495677952 is about 791.4069634623.

The spelling of 495677952 in words is "four hundred ninety-five million, six hundred seventy-seven thousand, nine hundred fifty-two".