516406407 has 8 divisors (see below), whose sum is σ = 751136640. Its totient is φ = 312973560.

The previous prime is 516406403. The next prime is 516406411. The reversal of 516406407 is 704604615.

It is an interprime number because it is at equal distance from previous prime (516406403) and next prime (516406411).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 516406407 - 2² = 516406403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 15648679 = 516406407 / (5 + 1 + 6 + 4 + 0 + 6 + 4 + 0 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516406403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7824307 + ... + 7824372.

It is an arithmetic number, because the mean of its divisors is an integer number (93892080).

Almost surely, 2^516406407 is an apocalyptic number.

516406407 is a deficient number, since it is larger than the sum of its proper divisors (234730233).

516406407 is a wasteful number, since it uses less digits than its factorization.

516406407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15648693.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 516406407 is about 22724.5771577823. The cubic root of 516406407 is about 802.2884511430.

The spelling of 516406407 in words is "five hundred sixteen million, four hundred six thousand, four hundred seven".