507408401 has 8 divisors (see below), whose sum is σ = 537669864. Its totient is φ = 477192960.

The previous prime is 507408371. The next prime is 507408427. The reversal of 507408401 is 104804705.

It can be written as a sum of positive squares in 4 ways, for example, as 309724801 + 197683600 = 17599^2 + 14060^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-507408401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507458401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12671 + ... + 34283.

It is an arithmetic number, because the mean of its divisors is an integer number (67208733).

Almost surely, 2^507408401 is an apocalyptic number.

It is an amenable number.

507408401 is a deficient number, since it is larger than the sum of its proper divisors (30261463).

507408401 is a wasteful number, since it uses less digits than its factorization.

507408401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23011.

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 507408401 is about 22525.7275354205. The cubic root of 507408401 is about 797.6013575181.

The spelling of 507408401 in words is "five hundred seven million, four hundred eight thousand, four hundred one".