1007400960 has 288 divisors, whose sum is σ = 3702600720. Its totient is φ = 252444672.

The previous prime is 1007400959. The next prime is 1007400973. The reversal of 1007400960 is 690047001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566399 + ... + 1567041.

Almost surely, 2^1007400960 is an apocalyptic number.

1007400960 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 1007400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851300360).

1007400960 is an abundant number, since it is smaller than the sum of its proper divisors (2695199760).

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

1007400960 is a wasteful number, since it uses less digits than its factorization.

1007400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1007400960 is about 31739.5803374903. The cubic root of 1007400960 is about 1002.4609255442.

Adding to 1007400960 its reverse (690047001), we get a palindrome (1697447961).

The spelling of 1007400960 in words is "one billion, seven million, four hundred thousand, nine hundred sixty".