1478880000 has 540 divisors, whose sum is σ = 5810764960. Its totient is φ = 359424000.

The previous prime is 1478879999. The next prime is 1478880001. The reversal of 1478880000 is 888741.

It is an interprime number because it is at equal distance from previous prime (1478879999) and next prime (1478880001).

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

It is not an unprimeable number, because it can be changed into a prime (1478880001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18719961 + ... + 18720039.

Almost surely, 2^1478880000 is an apocalyptic number.

1478880000 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 1478880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905382480).

1478880000 is an abundant number, since it is smaller than the sum of its proper divisors (4331884960).

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

1478880000 is an equidigital number, since it uses as much as digits as its factorization.

1478880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1478880000 is about 38456.2088615090. The cubic root of 1478880000 is about 1139.3163028801.

The spelling of 1478880000 in words is "one billion, four hundred seventy-eight million, eight hundred eighty thousand".