1516414000 has 80 divisors (see below), whose sum is σ = 3703486176. Its totient is φ = 600480000.

The previous prime is 1516413947. The next prime is 1516414007. The reversal of 1516414000 is 4146151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1516414000² = 4599022838792000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1516414007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198247 + ... + 205753.

Almost surely, 2^1516414000 is an apocalyptic number.

1516414000 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 1516414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851743088).

1516414000 is an abundant number, since it is smaller than the sum of its proper divisors (2187072176).

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

1516414000 is a wasteful number, since it uses less digits than its factorization.

1516414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7631 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1516414000 is about 38941.1607428438. The cubic root of 1516414000 is about 1148.8745132300.

The spelling of 1516414000 in words is "one billion, five hundred sixteen million, four hundred fourteen thousand".