510490800 has 90 divisors (see below), whose sum is σ = 1771557372. Its totient is φ = 136129920.

The previous prime is 510490789. The next prime is 510490801. The reversal of 510490800 is 8094015.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (510490801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67302 + ... + 74501.

Almost surely, 2^510490800 is an apocalyptic number.

510490800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

510490800 is an abundant number, since it is smaller than the sum of its proper divisors (1261066572).

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

510490800 is a wasteful number, since it uses less digits than its factorization.

510490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141827 (or 141813 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 510490800 is about 22594.0434628244. The cubic root of 510490800 is about 799.2131847392.

The spelling of 510490800 in words is "five hundred ten million, four hundred ninety thousand, eight hundred".