1463869440 has 504 divisors, whose sum is σ = 5842439928. Its totient is φ = 336199680.

The previous prime is 1463869411. The next prime is 1463869441. The reversal of 1463869440 is 449683641.

1463869440 is a `hidden beast` number, since 1 + 4 + 638 + 6 + 9 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463869441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77045751 + ... + 77045769.

Almost surely, 2^1463869440 is an apocalyptic number.

1463869440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921219964).

1463869440 is an abundant number, since it is smaller than the sum of its proper divisors (4378570488).

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

1463869440 is a wasteful number, since it uses less digits than its factorization.

1463869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1463869440 is about 38260.5467812471. The cubic root of 1463869440 is about 1135.4485189385.

The spelling of 1463869440 in words is "one billion, four hundred sixty-three million, eight hundred sixty-nine thousand, four hundred forty".