513404416 has 40 divisors (see below), whose sum is σ = 1172358000. Its totient is φ = 220028928.

The previous prime is 513404407. The next prime is 513404417. The reversal of 513404416 is 614404315.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513404417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68041 + ... + 75208.

It is an arithmetic number, because the mean of its divisors is an integer number (29308950).

Almost surely, 2^513404416 is an apocalyptic number.

513404416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513404416 is an abundant number, since it is smaller than the sum of its proper divisors (658953584).

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

513404416 is an equidigital number, since it uses as much as digits as its factorization.

513404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143274 (or 143258 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 513404416 is about 22658.4292482952. The cubic root of 513404416 is about 800.7307988796.

The spelling of 513404416 in words is "five hundred thirteen million, four hundred four thousand, four hundred sixteen".