1480928400 has 480 divisors, whose sum is σ = 6347212800. Its totient is φ = 320371200.

The previous prime is 1480928399. The next prime is 1480928417. The reversal of 1480928400 is 48290841.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 1435885 + ... + 1436915.

It is an arithmetic number, because the mean of its divisors is an integer number (13223360).

Almost surely, 2^1480928400 is an apocalyptic number.

1480928400 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 1480928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173606400).

1480928400 is an abundant number, since it is smaller than the sum of its proper divisors (4866284400).

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

1480928400 is a wasteful number, since it uses less digits than its factorization.

1480928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1480928400 is about 38482.8325360803. The cubic root of 1480928400 is about 1139.8420833890.

The spelling of 1480928400 in words is "one billion, four hundred eighty million, nine hundred twenty-eight thousand, four hundred".