1007413700 has 36 divisors (see below), whose sum is σ = 2189482260. Its totient is φ = 402339840.

The previous prime is 1007413697. The next prime is 1007413703. The reversal of 1007413700 is 73147001.

1007413700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1007413697) and next prime (1007413703).

It can be written as a sum of positive squares in 6 ways, for example, as 326308096 + 681105604 = 18064^2 + 26098^2 .

It is not an unprimeable number, because it can be changed into a prime (1007413703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59816 + ... + 74784.

Almost surely, 2^1007413700 is an apocalyptic number.

1007413700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007413700 is an abundant number, since it is smaller than the sum of its proper divisors (1182068560).

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

1007413700 is a wasteful number, since it uses less digits than its factorization.

1007413700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15656 (or 15649 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 1007413700 is about 31739.7810326410. The cubic root of 1007413700 is about 1002.4651513685.

The spelling of 1007413700 in words is "one billion, seven million, four hundred thirteen thousand, seven hundred".