1478400000 has 576 divisors, whose sum is σ = 6142106880. Its totient is φ = 307200000.

The previous prime is 1478399999. The next prime is 1478400037. The reversal of 1478400000 is 48741.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134399995 + ... + 134400005.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^1478400000 is an apocalyptic number.

1478400000 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 1478400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

1478400000 is an abundant number, since it is smaller than the sum of its proper divisors (4663706880).

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

1478400000 is an frugal number, since it uses more digits than its factorization.

1478400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1478400000 is about 38449.9674902333. The cubic root of 1478400000 is about 1139.1930269320.

Adding to 1478400000 its reverse (48741), we get a palindrome (1478448741).

The spelling of 1478400000 in words is "one billion, four hundred seventy-eight million, four hundred thousand".