495147600 has 360 divisors, whose sum is σ = 1874641920. Its totient is φ = 124104960.

The previous prime is 495147599. The next prime is 495147617. The reversal of 495147600 is 6741594.

495147600 is a `hidden beast` number, since 4 + 9 + 5 + 1 + 47 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×495147600² = 490342291571520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3898737 + ... + 3898863.

Almost surely, 2^495147600 is an apocalyptic number.

495147600 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 495147600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937320960).

495147600 is an abundant number, since it is smaller than the sum of its proper divisors (1379494320).

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

495147600 is a wasteful number, since it uses less digits than its factorization.

495147600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 495147600 is about 22251.9122773752. The cubic root of 495147600 is about 791.1246067101.

The spelling of 495147600 in words is "four hundred ninety-five million, one hundred forty-seven thousand, six hundred".