507540407 has 16 divisors (see below), whose sum is σ = 584949120. Its totient is φ = 435520800.

The previous prime is 507540377. The next prime is 507540409. The reversal of 507540407 is 704045705.

It is not a de Polignac number, because 507540407 - 2¹⁴ = 507524023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507540409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54857 + ... + 63437.

It is an arithmetic number, because the mean of its divisors is an integer number (36559320).

Almost surely, 2^507540407 is an apocalyptic number.

507540407 is a deficient number, since it is larger than the sum of its proper divisors (77408713).

507540407 is a wasteful number, since it uses less digits than its factorization.

507540407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894.

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 507540407 is about 22528.6574611094. The cubic root of 507540407 is about 797.6705187929.

It can be divided in two parts, 50 and 7540407, that added together give a palindrome (7540457).

The spelling of 507540407 in words is "five hundred seven million, five hundred forty thousand, four hundred seven".