1516339440 has 480 divisors, whose sum is σ = 6590578176. Its totient is φ = 314772480.

The previous prime is 1516339421. The next prime is 1516339453. The reversal of 1516339440 is 449336151.

1516339440 is a `hidden beast` number, since 15 + 1 + 633 + 9 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1516339395 and 1516339404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496374 + ... + 1497386.

Almost surely, 2^1516339440 is an apocalyptic number.

1516339440 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 1516339440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295289088).

1516339440 is an abundant number, since it is smaller than the sum of its proper divisors (5074238736).

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

1516339440 is a wasteful number, since it uses less digits than its factorization.

1516339440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1516339440 is about 38940.2033892993. The cubic root of 1516339440 is about 1148.8556833925.

The spelling of 1516339440 in words is "one billion, five hundred sixteen million, three hundred thirty-nine thousand, four hundred forty".