508741632 has 144 divisors (see below), whose sum is σ = 1679670720. Its totient is φ = 145317888.

The previous prime is 508741627. The next prime is 508741633. The reversal of 508741632 is 236147805.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (508741633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127053 + ... + 130995.

It is an arithmetic number, because the mean of its divisors is an integer number (11664380).

Almost surely, 2^508741632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839835360).

508741632 is an abundant number, since it is smaller than the sum of its proper divisors (1170929088).

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

508741632 is a wasteful number, since it uses less digits than its factorization.

508741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 508741632 is about 22555.3016384175. The cubic root of 508741632 is about 798.2993205068.

The spelling of 508741632 in words is "five hundred eight million, seven hundred forty-one thousand, six hundred thirty-two".