495211520 has 66 divisors (see below), whose sum is σ = 1191759306. Its totient is φ = 197447680.

The previous prime is 495211517. The next prime is 495211523. The reversal of 495211520 is 25112594.

It is an interprime number because it is at equal distance from previous prime (495211517) and next prime (495211523).

It can be written as a sum of positive squares in only one way, i.e., 396169216 + 99042304 = 19904^2 + 9952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495211523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1592165 + ... + 1592475.

Almost surely, 2^495211520 is an apocalyptic number.

495211520 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 495211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595879653).

495211520 is an abundant number, since it is smaller than the sum of its proper divisors (696547786).

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

495211520 is an frugal number, since it uses more digits than its factorization.

495211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 495211520 is about 22253.3485120779. The cubic root of 495211520 is about 791.1586480808.

The spelling of 495211520 in words is "four hundred ninety-five million, two hundred eleven thousand, five hundred twenty".