1516334400 has 504 divisors, whose sum is σ = 6305499200. Its totient is φ = 345461760.

The previous prime is 1516334389. The next prime is 1516334437. The reversal of 1516334400 is 44336151.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4939047 + ... + 4939353.

Almost surely, 2^1516334400 is an apocalyptic number.

1516334400 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 1516334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152749600).

1516334400 is an abundant number, since it is smaller than the sum of its proper divisors (4789164800).

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

1516334400 is a wasteful number, since it uses less digits than its factorization.

1516334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1516334400 is about 38940.1386746375. The cubic root of 1516334400 is about 1148.8544105379.

The spelling of 1516334400 in words is "one billion, five hundred sixteen million, three hundred thirty-four thousand, four hundred".