1480415664 has 360 divisors, whose sum is σ = 5059771392. Its totient is φ = 364815360.

The previous prime is 1480415611. The next prime is 1480415689. The reversal of 1480415664 is 4665140841.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47755329 + ... + 47755359.

Almost surely, 2^1480415664 is an apocalyptic number.

1480415664 is a gapful number since it is divisible by the number (14) 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 1480415664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529885696).

1480415664 is an abundant number, since it is smaller than the sum of its proper divisors (3579355728).

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

1480415664 is a wasteful number, since it uses less digits than its factorization.

1480415664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1480415664 is about 38476.1700796740. The cubic root of 1480415664 is about 1139.7105205278.

The spelling of 1480415664 in words is "one billion, four hundred eighty million, four hundred fifteen thousand, six hundred sixty-four".