1516402944 has 360 divisors, whose sum is σ = 5350112768. Its totient is φ = 418037760.

The previous prime is 1516402889. The next prime is 1516402957. The reversal of 1516402944 is 4492046151.

1516402944 is a `hidden beast` number, since 1 + 5 + 1 + 640 + 2 + 9 + 4 + 4 = 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 = 1516402899 and 1516402908.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4499544 + ... + 4499880.

Almost surely, 2^1516402944 is an apocalyptic number.

1516402944 is a gapful number since it is divisible by the number (14) 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 1516402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675056384).

1516402944 is an abundant number, since it is smaller than the sum of its proper divisors (3833709824).

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

1516402944 is an equidigital number, since it uses as much as digits as its factorization.

1516402944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1516402944 is about 38941.0187848238. The cubic root of 1516402944 is about 1148.8717211193.

The spelling of 1516402944 in words is "one billion, five hundred sixteen million, four hundred two thousand, nine hundred forty-four".