505490403600 has 960 divisors, whose sum is σ = 2274376097280. Its totient is φ = 103762944000.

The previous prime is 505490403571. The next prime is 505490403623. The reversal of 505490403600 is 6304094505.

It is a happy number.

505490403600 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 9 + 0 + 40 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36356650 + ... + 36370550.

It is an arithmetic number, because the mean of its divisors is an integer number (2369141768).

Almost surely, 2^505490403600 is an apocalyptic number.

505490403600 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 505490403600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137188048640).

505490403600 is an abundant number, since it is smaller than the sum of its proper divisors (1768885693680).

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

505490403600 is a wasteful number, since it uses less digits than its factorization.

505490403600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13985 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 505490403600 in words is "five hundred five billion, four hundred ninety million, four hundred three thousand, six hundred".