505077000 has 128 divisors (see below), whose sum is σ = 1658966400. Its totient is φ = 127584000.

The previous prime is 505076983. The next prime is 505077029. The reversal of 505077000 is 770505.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52570 + ... + 61430.

It is an arithmetic number, because the mean of its divisors is an integer number (12960675).

Almost surely, 2^505077000 is an apocalyptic number.

505077000 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 505077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829483200).

505077000 is an abundant number, since it is smaller than the sum of its proper divisors (1153889400).

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

505077000 is a wasteful number, since it uses less digits than its factorization.

505077000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 505077000 is about 22473.9182164570. The cubic root of 505077000 is about 796.3778960373.

The spelling of 505077000 in words is "five hundred five million, seventy-seven thousand".