1234000400 has 30 divisors (see below), whose sum is σ = 2964686922. Its totient is φ = 493600000.

The previous prime is 1234000381. The next prime is 1234000421. The reversal of 1234000400 is 40004321.

It can be written as a sum of positive squares in 3 ways, for example, as 10679824 + 1223320576 = 3268^2 + 34976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1542101 + ... + 1542900.

Almost surely, 2^1234000400 is an apocalyptic number.

1234000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234000400 is an abundant number, since it is smaller than the sum of its proper divisors (1730686522).

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

1234000400 is a wasteful number, since it uses less digits than its factorization.

1234000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085019 (or 3085008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1234000400 is about 35128.3418339096. The cubic root of 1234000400 is about 1072.6015827770.

Adding to 1234000400 its reverse (40004321), we get a palindrome (1274004721).

The spelling of 1234000400 in words is "one billion, two hundred thirty-four million, four hundred", and thus it is an aban number.