516154440 has 128 divisors (see below), whose sum is σ = 1607454720. Its totient is φ = 132480000.

The previous prime is 516154427. The next prime is 516154447. The reversal of 516154440 is 44451615.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 516154398 and 516154407.

It is not an unprimeable number, because it can be changed into a prime (516154447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447865 + ... + 449015.

It is an arithmetic number, because the mean of its divisors is an integer number (12558240).

Almost surely, 2^516154440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516154440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803727360).

516154440 is an abundant number, since it is smaller than the sum of its proper divisors (1091300280).

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

516154440 is a wasteful number, since it uses less digits than its factorization.

516154440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 516154440 is about 22719.0325498248. The cubic root of 516154440 is about 802.1579446929.

The spelling of 516154440 in words is "five hundred sixteen million, one hundred fifty-four thousand, four hundred forty".