1011507480 has 256 divisors, whose sum is σ = 3668976000. Its totient is φ = 246841344.

The previous prime is 1011507473. The next prime is 1011507493. The reversal of 1011507480 is 847051101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678576 + ... + 680064.

Almost surely, 2^1011507480 is an apocalyptic number.

1011507480 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 1011507480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834488000).

1011507480 is an abundant number, since it is smaller than the sum of its proper divisors (2657468520).

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

1011507480 is a wasteful number, since it uses less digits than its factorization.

1011507480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1011507480 is about 31804.2053823075. The cubic root of 1011507480 is about 1003.8212064493.

Adding to 1011507480 its reverse (847051101), we get a palindrome (1858558581).

The spelling of 1011507480 in words is "one billion, eleven million, five hundred seven thousand, four hundred eighty".