509944032 has 192 divisors, whose sum is σ = 1624008960. Its totient is φ = 154732032.

The previous prime is 509944013. The next prime is 509944069. The reversal of 509944032 is 230449905.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 931983 + ... + 932529.

It is an arithmetic number, because the mean of its divisors is an integer number (8458380).

Almost surely, 2^509944032 is an apocalyptic number.

509944032 is a gapful number since it is divisible by the number (52) 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 509944032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812004480).

509944032 is an abundant number, since it is smaller than the sum of its proper divisors (1114064928).

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

509944032 is a wasteful number, since it uses less digits than its factorization.

509944032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 509944032 is about 22581.9403949262. The cubic root of 509944032 is about 798.9277468168.

The spelling of 509944032 in words is "five hundred nine million, nine hundred forty-four thousand, thirty-two".