1303150464 has 512 divisors, whose sum is σ = 4935168000. Its totient is φ = 328734720.

The previous prime is 1303150463. The next prime is 1303150501. The reversal of 1303150464 is 4640513031.

It is a super-2 number, since 2×1303150464² = 3396402263646830592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303150463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15700567 + ... + 15700649.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^1303150464 is an apocalyptic number.

1303150464 is a gapful number since it is divisible by the number (14) 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 1303150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584000).

1303150464 is an abundant number, since it is smaller than the sum of its proper divisors (3632017536).

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

1303150464 is a wasteful number, since it uses less digits than its factorization.

1303150464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1303150464 is about 36099.1753922441. The cubic root of 1303150464 is about 1092.2738113042.

Adding to 1303150464 its reverse (4640513031), we get a palindrome (5943663495).

The spelling of 1303150464 in words is "one billion, three hundred three million, one hundred fifty thousand, four hundred sixty-four".