1007490540 has 144 divisors (see below), whose sum is σ = 3306836736. Its totient is φ = 224509440.

The previous prime is 1007490529. The next prime is 1007490541. The reversal of 1007490540 is 450947001.

It is a happy number.

1007490540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1007490498 and 1007490507.

It is not an unprimeable number, because it can be changed into a prime (1007490541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705307 + ... + 706733.

It is an arithmetic number, because the mean of its divisors is an integer number (22964144).

Almost surely, 2^1007490540 is an apocalyptic number.

1007490540 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 1007490540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653418368).

1007490540 is an abundant number, since it is smaller than the sum of its proper divisors (2299346196).

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

1007490540 is a wasteful number, since it uses less digits than its factorization.

1007490540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1007490540 is about 31740.9914778981. The cubic root of 1007490540 is about 1002.4906382378.

The spelling of 1007490540 in words is "one billion, seven million, four hundred ninety thousand, five hundred forty".