1007409012 has 48 divisors (see below), whose sum is σ = 2379367872. Its totient is φ = 331717120.

The previous prime is 1007408981. The next prime is 1007409037. The reversal of 1007409012 is 2109047001.

It is a super-2 number, since 2×1007409012² = 2029745834917632288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469462 + ... + 471602.

It is an arithmetic number, because the mean of its divisors is an integer number (49570164).

Almost surely, 2^1007409012 is an apocalyptic number.

1007409012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007409012 is an abundant number, since it is smaller than the sum of its proper divisors (1371958860).

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

1007409012 is a wasteful number, since it uses less digits than its factorization.

1007409012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1007409012 is about 31739.7071820141. The cubic root of 1007409012 is about 1002.4635963755.

The spelling of 1007409012 in words is "one billion, seven million, four hundred nine thousand, twelve".