1460406540 has 48 divisors (see below), whose sum is σ = 4093205760. Its totient is φ = 389054400.

The previous prime is 1460406529. The next prime is 1460406569. The reversal of 1460406540 is 456040641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1460406498 and 1460406507.

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 15 ways as a sum of consecutive naturals, for example, 51481 + ... + 74639.

It is an arithmetic number, because the mean of its divisors is an integer number (85275120).

Almost surely, 2^1460406540 is an apocalyptic number.

1460406540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1460406540 is an abundant number, since it is smaller than the sum of its proper divisors (2632799220).

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

1460406540 is a wasteful number, since it uses less digits than its factorization.

1460406540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24222 (or 24220 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1460406540 is about 38215.2657978458. The cubic root of 1460406540 is about 1134.5524806505.

The spelling of 1460406540 in words is "one billion, four hundred sixty million, four hundred six thousand, five hundred forty".