1463631120 has 400 divisors, whose sum is σ = 5958868608. Its totient is φ = 325969920.

The previous prime is 1463631109. The next prime is 1463631137. The reversal of 1463631120 is 211363641.

1463631120 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 631 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859367 + ... + 1860153.

Almost surely, 2^1463631120 is an apocalyptic number.

1463631120 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 1463631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979434304).

1463631120 is an abundant number, since it is smaller than the sum of its proper divisors (4495237488).

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

1463631120 is a wasteful number, since it uses less digits than its factorization.

1463631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1463631120 is about 38257.4322191127. The cubic root of 1463631120 is about 1135.3868980567.

Adding to 1463631120 its reverse (211363641), we get a palindrome (1674994761).

The spelling of 1463631120 in words is "one billion, four hundred sixty-three million, six hundred thirty-one thousand, one hundred twenty".