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1463000000 = 265671119
BaseRepresentation
bin101011100110011…
…1001101111000000
310202221220002201012
41113030321233000
510444012000000
6401101100052
751153203060
oct12714715700
93687802635
101463000000
11690909610
12349b57628
131a4139097
14dc4313a0
158868b735
hex57339bc0

1463000000 has 392 divisors, whose sum is σ = 4762439040. Its totient is φ = 432000000.

The previous prime is 1462999987. The next prime is 1463000003. The reversal of 1463000000 is 3641.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76999991 + ... + 77000009.

Almost surely, 21463000000 is an apocalyptic number.

1463000000 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 1463000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381219520).

1463000000 is an abundant number, since it is smaller than the sum of its proper divisors (3299439040).

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

1463000000 is an frugal number, since it uses more digits than its factorization.

1463000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1463000000 is about 38249.1829978106. The cubic root of 1463000000 is about 1135.2236810665.

Adding to 1463000000 its reverse (3641), we get a palindrome (1463003641).

The spelling of 1463000000 in words is "one billion, four hundred sixty-three million", and thus it is an aban number.