1007400400 has 30 divisors (see below), whose sum is σ = 2420280422. Its totient is φ = 402960000.

The previous prime is 1007400389. The next prime is 1007400403. The reversal of 1007400400 is 40047001.

It is a happy number.

1007400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13133376 + 994267024 = 3624^2 + 31532^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007400403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1258851 + ... + 1259650.

Almost surely, 2^1007400400 is an apocalyptic number.

1007400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007400400 is an abundant number, since it is smaller than the sum of its proper divisors (1412880022).

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

1007400400 is a wasteful number, since it uses less digits than its factorization.

1007400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518519 (or 2518508 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 1007400400 is about 31739.5715156963. The cubic root of 1007400400 is about 1002.4607397929.

Adding to 1007400400 its reverse (40047001), we get a palindrome (1047447401).

The spelling of 1007400400 in words is "one billion, seven million, four hundred thousand, four hundred".