1516420800 has 504 divisors, whose sum is σ = 5765027840. Its totient is φ = 377395200.

The previous prime is 1516420783. The next prime is 1516420811. The reversal of 1516420800 is 80246151.

1516420800 is a `hidden beast` number, since 15 + 1 + 642 + 0 + 8 + 0 + 0 = 666.

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, 19195161 + ... + 19195239.

Almost surely, 2^1516420800 is an apocalyptic number.

1516420800 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 1516420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882513920).

1516420800 is an abundant number, since it is smaller than the sum of its proper divisors (4248607040).

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

1516420800 is a wasteful number, since it uses less digits than its factorization.

1516420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1516420800 is about 38941.2480539594. The cubic root of 1516420800 is about 1148.8762305128.

Adding to 1516420800 its reverse (80246151), we get a palindrome (1596666951).

The spelling of 1516420800 in words is "one billion, five hundred sixteen million, four hundred twenty thousand, eight hundred".