1461505397 has 12 divisors (see below), whose sum is σ = 1608384960. Its totient is φ = 1327039560.

The previous prime is 1461505387. The next prime is 1461505411. The reversal of 1461505397 is 7935051641.

It is not a de Polignac number, because 1461505397 - 2¹⁴ = 1461489013 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 (1461505387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100004 + ... + 113682.

It is an arithmetic number, because the mean of its divisors is an integer number (134032080).

Almost surely, 2^1461505397 is an apocalyptic number.

It is an amenable number.

1461505397 is a deficient number, since it is larger than the sum of its proper divisors (146879563).

1461505397 is a wasteful number, since it uses less digits than its factorization.

1461505397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14584 (or 14573 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 1461505397 is about 38229.6402938872. The cubic root of 1461505397 is about 1134.8369672742.

The spelling of 1461505397 in words is "one billion, four hundred sixty-one million, five hundred five thousand, three hundred ninety-seven".