501735090 has 128 divisors (see below), whose sum is σ = 1327104000. Its totient is φ = 120911616.

The previous prime is 501735089. The next prime is 501735103. The reversal of 501735090 is 90537105.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2099191 + ... + 2099429.

It is an arithmetic number, because the mean of its divisors is an integer number (10368000).

Almost surely, 2^501735090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501735090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663552000).

501735090 is an abundant number, since it is smaller than the sum of its proper divisors (825368910).

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

501735090 is a wasteful number, since it uses less digits than its factorization.

With its successor (501735091) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (424).

501735090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424.

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 501735090 is about 22399.4439663131. The cubic root of 501735090 is about 794.6175606060.

The spelling of 501735090 in words is "five hundred one million, seven hundred thirty-five thousand, ninety".