513463800 has 192 divisors, whose sum is σ = 1658152800. Its totient is φ = 131328000.

The previous prime is 513463747. The next prime is 513463831. The reversal of 513463800 is 8364315.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2242086 + ... + 2242314.

Almost surely, 2^513463800 is an apocalyptic number.

513463800 is a gapful number since it is divisible by the number (50) 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 513463800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829076400).

513463800 is an abundant number, since it is smaller than the sum of its proper divisors (1144689000).

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

513463800 is a wasteful number, since it uses less digits than its factorization.

513463800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 513463800 is about 22659.7396278068. The cubic root of 513463800 is about 800.7616704259.

The spelling of 513463800 in words is "five hundred thirteen million, four hundred sixty-three thousand, eight hundred".