1412920400 has 30 divisors (see below), whose sum is σ = 3394542222. Its totient is φ = 565168000.

The previous prime is 1412920391. The next prime is 1412920417. The reversal of 1412920400 is 40292141.

It can be written as a sum of positive squares in 3 ways, for example, as 218803264 + 1194117136 = 14792^2 + 34556^2 .

It is a congruent number.

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, 1765751 + ... + 1766550.

Almost surely, 2^1412920400 is an apocalyptic number.

1412920400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1412920400 is an abundant number, since it is smaller than the sum of its proper divisors (1981621822).

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

1412920400 is a wasteful number, since it uses less digits than its factorization.

1412920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532319 (or 3532308 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1412920400 is about 37588.8334482463. The cubic root of 1412920400 is about 1122.1198160901.

The spelling of 1412920400 in words is "one billion, four hundred twelve million, nine hundred twenty thousand, four hundred".