1476830880 has 480 divisors, whose sum is σ = 6065224704. Its totient is φ = 331444224.

The previous prime is 1476830867. The next prime is 1476830893. The reversal of 1476830880 is 880386741.

It is an interprime number because it is at equal distance from previous prime (1476830867) and next prime (1476830893).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 6622449 + ... + 6622671.

Almost surely, 2^1476830880 is an apocalyptic number.

1476830880 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 1476830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032612352).

1476830880 is an abundant number, since it is smaller than the sum of its proper divisors (4588393824).

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

1476830880 is a wasteful number, since it uses less digits than its factorization.

1476830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1476830880 is about 38429.5573745002. The cubic root of 1476830880 is about 1138.7898515753.

The spelling of 1476830880 in words is "one billion, four hundred seventy-six million, eight hundred thirty thousand, eight hundred eighty".