507461444 has 72 divisors (see below), whose sum is σ = 1089672192. Its totient is φ = 205873920.

The previous prime is 507461429. The next prime is 507461473. The reversal of 507461444 is 444164705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284684 + ... + 286460.

It is an arithmetic number, because the mean of its divisors is an integer number (15134336).

Almost surely, 2^507461444 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 507461444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544836096).

507461444 is an abundant number, since it is smaller than the sum of its proper divisors (582210748).

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

507461444 is a wasteful number, since it uses less digits than its factorization.

507461444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 507461444 is about 22526.9048917067. The cubic root of 507461444 is about 797.6291495259.

The spelling of 507461444 in words is "five hundred seven million, four hundred sixty-one thousand, four hundred forty-four".