1478640000 has 320 divisors, whose sum is σ = 5037824880. Its totient is φ = 384000000.

The previous prime is 1478639941. The next prime is 1478640001. The reversal of 1478640000 is 468741.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1478640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1478640001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14639950 + ... + 14640050.

Almost surely, 2^1478640000 is an apocalyptic number.

1478640000 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 1478640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518912440).

1478640000 is an abundant number, since it is smaller than the sum of its proper divisors (3559184880).

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

1478640000 is an equidigital number, since it uses as much as digits as its factorization.

1478640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1478640000 is about 38453.0883025018. The cubic root of 1478640000 is about 1139.2546682409.

The spelling of 1478640000 in words is "one billion, four hundred seventy-eight million, six hundred forty thousand".