1035150480 has 720 divisors, whose sum is σ = 4546052784. Its totient is φ = 209018880.

The previous prime is 1035150449. The next prime is 1035150497. The reversal of 1035150480 is 840515301.

1035150480 is a `hidden beast` number, since 1 + 0 + 35 + 150 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 115605504 + 919544976 = 10752^2 + 30324^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16969650 + ... + 16969710.

Almost surely, 2^1035150480 is an apocalyptic number.

1035150480 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 1035150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273026392).

1035150480 is an abundant number, since it is smaller than the sum of its proper divisors (3510902304).

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

1035150480 is a wasteful number, since it uses less digits than its factorization.

1035150480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1035150480 is about 32173.7545213486. The cubic root of 1035150480 is about 1011.5821622814.

Adding to 1035150480 its reverse (840515301), we get a palindrome (1875665781).

The spelling of 1035150480 in words is "one billion, thirty-five million, one hundred fifty thousand, four hundred eighty".