1461220460 has 48 divisors (see below), whose sum is σ = 3691511040. Its totient is φ = 474621120.

The previous prime is 1461220393. The next prime is 1461220463. The reversal of 1461220460 is 640221641.

It is a super-2 number, since 2×1461220460² = 4270330465445223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1461220463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272006 + ... + 277325.

It is an arithmetic number, because the mean of its divisors is an integer number (76906480).

Almost surely, 2^1461220460 is an apocalyptic number.

1461220460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461220460 is an abundant number, since it is smaller than the sum of its proper divisors (2230290580).

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

1461220460 is a wasteful number, since it uses less digits than its factorization.

1461220460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549366 (or 549364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1461220460 is about 38225.9134619436. The cubic root of 1461220460 is about 1134.7632127154.

The spelling of 1461220460 in words is "one billion, four hundred sixty-one million, two hundred twenty thousand, four hundred sixty".