1480363776 has 216 divisors, whose sum is σ = 4519897200. Its totient is φ = 483065856.

The previous prime is 1480363733. The next prime is 1480363793. The reversal of 1480363776 is 6773630841.

1480363776 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 3 + 637 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3296800 + ... + 3297248.

It is an arithmetic number, because the mean of its divisors is an integer number (20925450).

Almost surely, 2^1480363776 is an apocalyptic number.

1480363776 is a gapful number since it is divisible by the number (16) 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 1480363776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259948600).

1480363776 is an abundant number, since it is smaller than the sum of its proper divisors (3039533424).

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

1480363776 is an frugal number, since it uses more digits than its factorization.

1480363776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1480363776 is about 38475.4957862793. The cubic root of 1480363776 is about 1139.6972049004.

The spelling of 1480363776 in words is "one billion, four hundred eighty million, three hundred sixty-three thousand, seven hundred seventy-six".