1413157460 has 96 divisors (see below), whose sum is σ = 3560965632. Its totient is φ = 464209920.

The previous prime is 1413157457. The next prime is 1413157463. The reversal of 1413157460 is 647513141.

It is an interprime number because it is at equal distance from previous prime (1413157457) and next prime (1413157463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413157463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129164 + ... + 139676.

It is an arithmetic number, because the mean of its divisors is an integer number (37093392).

Almost surely, 2^1413157460 is an apocalyptic number.

1413157460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413157460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780482816).

1413157460 is an abundant number, since it is smaller than the sum of its proper divisors (2147808172).

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

1413157460 is a wasteful number, since it uses less digits than its factorization.

1413157460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10593 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1413157460 is about 37591.9866460925. The cubic root of 1413157460 is about 1122.1825690586.

The spelling of 1413157460 in words is "one billion, four hundred thirteen million, one hundred fifty-seven thousand, four hundred sixty".