1480706400 has 72 divisors (see below), whose sum is σ = 4819707144. Its totient is φ = 394854400.

The previous prime is 1480706399. The next prime is 1480706417. The reversal of 1480706400 is 46070841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 306081 + ... + 310880.

It is an arithmetic number, because the mean of its divisors is an integer number (66940377).

Almost surely, 2^1480706400 is an apocalyptic number.

1480706400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1480706400 is an abundant number, since it is smaller than the sum of its proper divisors (3339000744).

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

1480706400 is a wasteful number, since it uses less digits than its factorization.

1480706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616984 (or 616971 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1480706400 is about 38479.9480249129. The cubic root of 1480706400 is about 1139.7851241672.

The spelling of 1480706400 in words is "one billion, four hundred eighty million, seven hundred six thousand, four hundred".