1007000450 has 24 divisors (see below), whose sum is σ = 1875916020. Its totient is φ = 402177600.

The previous prime is 1007000447. The next prime is 1007000453. The reversal of 1007000450 is 540007001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1007000447) and next prime (1007000453).

It can be written as a sum of positive squares in 6 ways, for example, as 530058529 + 476941921 = 23023^2 + 21839^2 .

It is not an unprimeable number, because it can be changed into a prime (1007000453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17816 + ... + 48284.

Almost surely, 2^1007000450 is an apocalyptic number.

1007000450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1007000450 is a deficient number, since it is larger than the sum of its proper divisors (868915570).

1007000450 is a wasteful number, since it uses less digits than its factorization.

1007000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31142 (or 31137 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 1007000450 is about 31733.2703955959. The cubic root of 1007000450 is about 1002.3280592675.

Adding to 1007000450 its reverse (540007001), we get a palindrome (1547007451).

The spelling of 1007000450 in words is "one billion, seven million, four hundred fifty", and thus it is an aban number.