1430040400 has 30 divisors (see below), whose sum is σ = 3435673022. Its totient is φ = 572016000.

The previous prime is 1430040389. The next prime is 1430040401. The reversal of 1430040400 is 40400341.

It can be written as a sum of positive squares in 3 ways, for example, as 16581184 + 1413459216 = 4072^2 + 37596^2 .

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 (1430040401) 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, 1787151 + ... + 1787950.

Almost surely, 2^1430040400 is an apocalyptic number.

1430040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430040400 is an abundant number, since it is smaller than the sum of its proper divisors (2005632622).

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

1430040400 is a wasteful number, since it uses less digits than its factorization.

1430040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575119 (or 3575108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1430040400 is about 37815.8749733495. The cubic root of 1430040400 is about 1126.6337809261.

Adding to 1430040400 its reverse (40400341), we get a palindrome (1470440741).

The spelling of 1430040400 in words is "one billion, four hundred thirty million, forty thousand, four hundred".