1463146300 has 288 divisors, whose sum is σ = 4254727680. Its totient is φ = 423014400.

The previous prime is 1463146291. The next prime is 1463146303. The reversal of 1463146300 is 36413641.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463146303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10679832 + ... + 10679968.

It is an arithmetic number, because the mean of its divisors is an integer number (14773360).

Almost surely, 2^1463146300 is an apocalyptic number.

1463146300 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 1463146300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127363840).

1463146300 is an abundant number, since it is smaller than the sum of its proper divisors (2791581380).

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

1463146300 is a wasteful number, since it uses less digits than its factorization.

1463146300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1463146300 is about 38251.0954091514. The cubic root of 1463146300 is about 1135.2615205946.

1463146300 divided by its sum of digits (28) gives a palindrome (52255225).

Adding to 1463146300 its reverse (36413641), we get a palindrome (1499559941).

It can be divided in two parts, 1463 and 146300, that multiplied together give a square (214036900 = 14630²).

The spelling of 1463146300 in words is "one billion, four hundred sixty-three million, one hundred forty-six thousand, three hundred".