1460004100 has 27 divisors (see below), whose sum is σ = 3169038271. Its totient is φ = 583848800.

The previous prime is 1460004089. The next prime is 1460004103. The reversal of 1460004100 is 14000641.

It is a happy number.

The square root of 1460004100 is 38210.

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 143185156 + 1316818944 = 11966^2 + 36288^2 .

It is a super-2 number, since 2×1460004100² = 4263223944033620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1460004103) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 380190 + ... + 384010.

Almost surely, 2^1460004100 is an apocalyptic number.

1460004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1460004100 is the 38210-th square number.

It is an amenable number.

1460004100 is an abundant number, since it is smaller than the sum of its proper divisors (1709034171).

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

1460004100 is an frugal number, since it uses more digits than its factorization.

1460004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 1460004100 is about 1134.4482559627.

Multiplying 1460004100 by its sum of digits (16), we get a square (23360065600 = 152840²).

Adding to 1460004100 its reverse (14000641), we get a palindrome (1474004741).

The spelling of 1460004100 in words is "one billion, four hundred sixty million, four thousand, one hundred".