1480929840 has 480 divisors, whose sum is σ = 5835001536. Its totient is φ = 333250560.

The previous prime is 1480929839. The next prime is 1480929841. The reversal of 1480929840 is 489290841.

1480929840 = 5990² + 5991² + ... + 6030².

1480929840 is a `hidden beast` number, since 1 + 480 + 92 + 9 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1480929839) and next prime (1480929841).

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

It is not an unprimeable number, because it can be changed into a prime (1480929841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6523807 + ... + 6524033.

Almost surely, 2^1480929840 is an apocalyptic number.

1480929840 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 1480929840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917500768).

1480929840 is an abundant number, since it is smaller than the sum of its proper divisors (4354071696).

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

1480929840 is a wasteful number, since it uses less digits than its factorization.

1480929840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1480929840 is about 38482.8512457172. The cubic root of 1480929840 is about 1139.8424528357.

The spelling of 1480929840 in words is "one billion, four hundred eighty million, nine hundred twenty-nine thousand, eight hundred forty".