1461914640 has 60 divisors (see below), whose sum is σ = 4909599084. Its totient is φ = 389843712.

The previous prime is 1461914603. The next prime is 1461914669. The reversal of 1461914640 is 464191641.

1461914640 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 9 + 1 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 661929984 + 799984656 = 25728^2 + 28284^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 1461914595 and 1461914604.

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 11 ways as a sum of consecutive naturals, for example, 1014499 + ... + 1015938.

Almost surely, 2^1461914640 is an apocalyptic number.

1461914640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461914640 is an abundant number, since it is smaller than the sum of its proper divisors (3447684444).

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

1461914640 is a wasteful number, since it uses less digits than its factorization.

1461914640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030456 (or 2030447 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1461914640 is about 38234.9923499404. The cubic root of 1461914640 is about 1134.9428810679.

The spelling of 1461914640 in words is "one billion, four hundred sixty-one million, nine hundred fourteen thousand, six hundred forty".