516397440 has 256 divisors, whose sum is σ = 1878448320. Its totient is φ = 119537664.

The previous prime is 516397439. The next prime is 516397451. The reversal of 516397440 is 44793615.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423712 + ... + 424928.

Almost surely, 2^516397440 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 516397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939224160).

516397440 is an abundant number, since it is smaller than the sum of its proper divisors (1362050880).

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

516397440 is a wasteful number, since it uses less digits than its factorization.

516397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 516397440 is about 22724.3798595253. The cubic root of 516397440 is about 802.2838074089.

The spelling of 516397440 in words is "five hundred sixteen million, three hundred ninety-seven thousand, four hundred forty".