1478030400 has 1008 divisors, whose sum is σ = 6918033408. Its totient is φ = 290304000.

The previous prime is 1478030399. The next prime is 1478030423. The reversal of 1478030400 is 40308741.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34372779 + ... + 34372821.

Almost surely, 2^1478030400 is an apocalyptic number.

1478030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1478030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459016704).

1478030400 is an abundant number, since it is smaller than the sum of its proper divisors (5440003008).

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

1478030400 is a wasteful number, since it uses less digits than its factorization.

1478030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1478030400 is about 38445.1609438691. The cubic root of 1478030400 is about 1139.0980862676.

The spelling of 1478030400 in words is "one billion, four hundred seventy-eight million, thirty thousand, four hundred".