507209472 has 288 divisors, whose sum is σ = 1871976960. Its totient is φ = 131604480.

The previous prime is 507209441. The next prime is 507209473. The reversal of 507209472 is 274902705.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×507209472² = 514522896973037568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507209473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531748 + ... + 532700.

It is an arithmetic number, because the mean of its divisors is an integer number (6499920).

Almost surely, 2^507209472 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 507209472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935988480).

507209472 is an abundant number, since it is smaller than the sum of its proper divisors (1364767488).

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

507209472 is a wasteful number, since it uses less digits than its factorization.

507209472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 507209472 is about 22521.3115071037. The cubic root of 507209472 is about 797.4971109325.

The spelling of 507209472 in words is "five hundred seven million, two hundred nine thousand, four hundred seventy-two".