1007204840 has 16 divisors (see below), whose sum is σ = 2266210980. Its totient is φ = 402881920.

The previous prime is 1007204819. The next prime is 1007204843. The reversal of 1007204840 is 484027001.

It can be written as a sum of positive squares in 2 ways, for example, as 869424196 + 137780644 = 29486^2 + 11738^2 .

It is not an unprimeable number, because it can be changed into a prime (1007204843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12590021 + ... + 12590100.

Almost surely, 2^1007204840 is an apocalyptic number.

1007204840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007204840 is an abundant number, since it is smaller than the sum of its proper divisors (1259006140).

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

1007204840 is a wasteful number, since it uses less digits than its factorization.

1007204840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25180132 (or 25180128 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 1007204840 is about 31736.4906692596. The cubic root of 1007204840 is about 1002.3958685629.

The spelling of 1007204840 in words is "one billion, seven million, two hundred four thousand, eight hundred forty".