1463516640 has 96 divisors (see below), whose sum is σ = 5122323360. Its totient is φ = 390269952.

The previous prime is 1463516627. The next prime is 1463516693. The reversal of 1463516640 is 466153641.

It is a happy number.

1463516640 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 5 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1463516595 and 1463516604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165069 + ... + 173708.

It is an arithmetic number, because the mean of its divisors is an integer number (53357535).

Almost surely, 2^1463516640 is an apocalyptic number.

1463516640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463516640 is an abundant number, since it is smaller than the sum of its proper divisors (3658806720).

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

1463516640 is a wasteful number, since it uses less digits than its factorization.

1463516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338801 (or 338787 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1463516640 is about 38255.9360099841. The cubic root of 1463516640 is about 1135.3572953152.

The spelling of 1463516640 in words is "one billion, four hundred sixty-three million, five hundred sixteen thousand, six hundred forty".