1461458480 has 40 divisors (see below), whose sum is σ = 3515065200. Its totient is φ = 564424448.

The previous prime is 1461458459. The next prime is 1461458491. The reversal of 1461458480 is 848541641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 312650 + ... + 317289.

It is an arithmetic number, because the mean of its divisors is an integer number (87876630).

Almost surely, 2^1461458480 is an apocalyptic number.

1461458480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461458480 is an abundant number, since it is smaller than the sum of its proper divisors (2053606720).

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

1461458480 is a wasteful number, since it uses less digits than its factorization.

1461458480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629981 (or 629975 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 1461458480 is about 38229.0266682269. The cubic root of 1461458480 is about 1134.8248236959.

The spelling of 1461458480 in words is "one billion, four hundred sixty-one million, four hundred fifty-eight thousand, four hundred eighty".