495292500 has 90 divisors (see below), whose sum is σ = 1564556994. Its totient is φ = 132072000.

The previous prime is 495292477. The next prime is 495292519. The reversal of 495292500 is 5292594.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 147768336 + 347524164 = 12156^2 + 18642^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11494 + ... + 33506.

Almost surely, 2^495292500 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 495292500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782278497).

495292500 is an abundant number, since it is smaller than the sum of its proper divisors (1069264494).

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

495292500 is a wasteful number, since it uses less digits than its factorization.

495292500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22043 (or 22023 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 495292500 is about 22255.1679391552. The cubic root of 495292500 is about 791.2017707551.

It can be divided in two parts, 495 and 292500, that added together give a triangular number (292995 = T₇₆₅).

The spelling of 495292500 in words is "four hundred ninety-five million, two hundred ninety-two thousand, five hundred".