1010364480 has 168 divisors, whose sum is σ = 3487347864. Its totient is φ = 268492800.

The previous prime is 1010364479. The next prime is 1010364503. The reversal of 1010364480 is 844630101.

1010364480 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18870336 + 991494144 = 4344^2 + 31488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1327300 + ... + 1328060.

It is an arithmetic number, because the mean of its divisors is an integer number (20758023).

Almost surely, 2^1010364480 is an apocalyptic number.

1010364480 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 1010364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743673932).

1010364480 is an abundant number, since it is smaller than the sum of its proper divisors (2476983384).

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

1010364480 is a wasteful number, since it uses less digits than its factorization.

1010364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1010364480 is about 31786.2309813542. The cubic root of 1010364480 is about 1003.4429590951.

Adding to 1010364480 its reverse (844630101), we get a palindrome (1854994581).

The spelling of 1010364480 in words is "one billion, ten million, three hundred sixty-four thousand, four hundred eighty".