516354240 has 112 divisors (see below), whose sum is σ = 1683849312. Its totient is φ = 133963776.

The previous prime is 516354229. The next prime is 516354247. The reversal of 516354240 is 42453615.

It is a super-4 number, since 4×516354240⁴ (a number of 36 digits) contains 4444 as substring.

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 = 516354198 and 516354207.

It is not an unprimeable number, because it can be changed into a prime (516354247) 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, 28252 + ... + 42788.

Almost surely, 2^516354240 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 516354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841924656).

516354240 is an abundant number, since it is smaller than the sum of its proper divisors (1167495072).

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

516354240 is a wasteful number, since it uses less digits than its factorization.

516354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 516354240 is about 22723.4293186570. The cubic root of 516354240 is about 802.2614347012.

The spelling of 516354240 in words is "five hundred sixteen million, three hundred fifty-four thousand, two hundred forty".