516157440 has 208 divisors, whose sum is σ = 1711067136. Its totient is φ = 132710400.

The previous prime is 516157403. The next prime is 516157459. The reversal of 516157440 is 44751615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1904505 + ... + 1904775.

Almost surely, 2^516157440 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 516157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855533568).

516157440 is an abundant number, since it is smaller than the sum of its proper divisors (1194909696).

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

516157440 is a wasteful number, since it uses less digits than its factorization.

516157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 516157440 is about 22719.0985736670. The cubic root of 516157440 is about 802.1594987944.

The spelling of 516157440 in words is "five hundred sixteen million, one hundred fifty-seven thousand, four hundred forty".