526480500 has 576 divisors, whose sum is σ = 2091398400. Its totient is φ = 101606400.

The previous prime is 526480499. The next prime is 526480523. The reversal of 526480500 is 5084625.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 191 ways as a sum of consecutive naturals, for example, 18154486 + ... + 18154514.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2^526480500 is an apocalyptic number.

526480500 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 526480500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045699200).

526480500 is an abundant number, since it is smaller than the sum of its proper divisors (1564917900).

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

526480500 is a wasteful number, since it uses less digits than its factorization.

526480500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 526480500 is about 22945.1628889402. The cubic root of 526480500 is about 807.4719227778.

The spelling of 526480500 in words is "five hundred twenty-six million, four hundred eighty thousand, five hundred".