1463634040 has 128 divisors (see below), whose sum is σ = 3821126400. Its totient is φ = 498657280.

The previous prime is 1463634037. The next prime is 1463634041. The reversal of 1463634040 is 404363641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1463633993 and 1463634011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463634041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3133887 + ... + 3134353.

It is an arithmetic number, because the mean of its divisors is an integer number (29852550).

Almost surely, 2^1463634040 is an apocalyptic number.

1463634040 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 1463634040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910563200).

1463634040 is an abundant number, since it is smaller than the sum of its proper divisors (2357492360).

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

1463634040 is a wasteful number, since it uses less digits than its factorization.

1463634040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 1463634040 is about 38257.4703816131. The cubic root of 1463634040 is about 1135.3876531029.

Adding to 1463634040 its reverse (404363641), we get a palindrome (1867997681).

The spelling of 1463634040 in words is "one billion, four hundred sixty-three million, six hundred thirty-four thousand, forty".