1495368900 has 81 divisors (see below), whose sum is σ = 4690789831. Its totient is φ = 398455680.

The previous prime is 1495368883. The next prime is 1495368971. The reversal of 1495368900 is 98635941.

It is a happy number.

The square root of 1495368900 is 38670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55621764 + 1439747136 = 7458^2 + 37944^2 .

It is a super-2 number, since 2×1495368900² = 4472256294174420000, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1159456 + ... + 1160744.

Almost surely, 2^1495368900 is an apocalyptic number.

1495368900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1495368900 is the 38670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1495368900

1495368900 is an abundant number, since it is smaller than the sum of its proper divisors (3195420931).

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

1495368900 is a wasteful number, since it uses less digits than its factorization.

1495368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 1495368900 is about 1143.5349645009.

The spelling of 1495368900 in words is "one billion, four hundred ninety-five million, three hundred sixty-eight thousand, nine hundred".