513674448 has 240 divisors, whose sum is σ = 1694623680. Its totient is φ = 133066752.

The previous prime is 513674411. The next prime is 513674459. The reversal of 513674448 is 844476315.

It is a super-2 number, since 2×513674448² = 527722877056209408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159315 + ... + 1159757.

It is an arithmetic number, because the mean of its divisors is an integer number (7060932).

Almost surely, 2^513674448 is an apocalyptic number.

513674448 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513674448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847311840).

513674448 is an abundant number, since it is smaller than the sum of its proper divisors (1180949232).

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

513674448 is a wasteful number, since it uses less digits than its factorization.

513674448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 513674448 is about 22664.3872187183. The cubic root of 513674448 is about 800.8711593407.

The spelling of 513674448 in words is "five hundred thirteen million, six hundred seventy-four thousand, four hundred forty-eight".