1463301840 has 320 divisors, whose sum is σ = 6091610112. Its totient is φ = 280627200.

The previous prime is 1463301839. The next prime is 1463301859. The reversal of 1463301840 is 481033641.

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

It is a junction number, because it is equal to n+sod(n) for n = 1463301798 and 1463301807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237195 + ... + 243285.

Almost surely, 2^1463301840 is an apocalyptic number.

1463301840 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 1463301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045805056).

1463301840 is an abundant number, since it is smaller than the sum of its proper divisors (4628308272).

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

1463301840 is a wasteful number, since it uses less digits than its factorization.

1463301840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1463301840 is about 38253.1284995097. The cubic root of 1463301840 is about 1135.3017472213.

It can be divided in two parts, 1463 and 301840, that added together give a palindrome (303303).

The spelling of 1463301840 in words is "one billion, four hundred sixty-three million, three hundred one thousand, eight hundred forty".