1478332800 has 288 divisors, whose sum is σ = 6029428080. Its totient is φ = 337858560.

The previous prime is 1478332799. The next prime is 1478332831. The reversal of 1478332800 is 82338741.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 197934 + ... + 205266.

Almost surely, 2^1478332800 is an apocalyptic number.

1478332800 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 1478332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014714040).

1478332800 is an abundant number, since it is smaller than the sum of its proper divisors (4551095280).

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

1478332800 is a wasteful number, since it uses less digits than its factorization.

1478332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1478332800 is about 38449.0936174053. The cubic root of 1478332800 is about 1139.1757661701.

The spelling of 1478332800 in words is "one billion, four hundred seventy-eight million, three hundred thirty-two thousand, eight hundred".