1516796400 has 240 divisors, whose sum is σ = 5659352064. Its totient is φ = 340055040.

The previous prime is 1516796399. The next prime is 1516796419. The reversal of 1516796400 is 46976151.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443497 + ... + 446903.

Almost surely, 2^1516796400 is an apocalyptic number.

1516796400 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 1516796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829676032).

1516796400 is an abundant number, since it is smaller than the sum of its proper divisors (4142555664).

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

1516796400 is a wasteful number, since it uses less digits than its factorization.

1516796400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1516796400 is about 38946.0704051128. The cubic root of 1516796400 is about 1148.9710771609.

The spelling of 1516796400 in words is "one billion, five hundred sixteen million, seven hundred ninety-six thousand, four hundred".