1463516400 has 120 divisors (see below), whose sum is σ = 4963972464. Its totient is φ = 367308800.

The previous prime is 1463516399. The next prime is 1463516419. The reversal of 1463516400 is 46153641.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 15471 + ... + 56270.

Almost surely, 2^1463516400 is an apocalyptic number.

1463516400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463516400 is an abundant number, since it is smaller than the sum of its proper divisors (3500456064).

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

1463516400 is a wasteful number, since it uses less digits than its factorization.

1463516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71779 (or 71768 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1463516400 is about 38255.9328732159. The cubic root of 1463516400 is about 1135.3572332533.

The spelling of 1463516400 in words is "one billion, four hundred sixty-three million, five hundred sixteen thousand, four hundred".