1460768400 has 675 divisors, whose sum is σ = 6403699419. Its totient is φ = 308206080.

The previous prime is 1460768311. The next prime is 1460768429. The reversal of 1460768400 is 48670641.

The square root of 1460768400 is 38220.

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

1460768400 is a `hidden beast` number, since 1 + 4 + 607 + 6 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 376515216 + 1084253184 = 19404^2 + 32928^2 .

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

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 134 ways as a sum of consecutive naturals, for example, 112366794 + ... + 112366806.

Almost surely, 2^1460768400 is an apocalyptic number.

1460768400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1460768400 is the 38220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1460768400

1460768400 is an abundant number, since it is smaller than the sum of its proper divisors (4942931019).

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

1460768400 is a wasteful number, since it uses less digits than its factorization.

1460768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 1460768400 is about 1134.6461795043.

Multiplying 1460768400 by its sum of digits (36), we get a square (52587662400 = 229320²).

1460768400 divided by its sum of digits (36) gives a square (40576900 = 6370²).

The spelling of 1460768400 in words is "one billion, four hundred sixty million, seven hundred sixty-eight thousand, four hundred".