1613405460 has 96 divisors (see below), whose sum is σ = 4609769472. Its totient is φ = 421545600.

The previous prime is 1613405441. The next prime is 1613405467. The reversal of 1613405460 is 645043161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613405467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631185 + ... + 633735.

It is an arithmetic number, because the mean of its divisors is an integer number (48018432).

Almost surely, 2^1613405460 is an apocalyptic number.

1613405460 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 1613405460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304884736).

1613405460 is an abundant number, since it is smaller than the sum of its proper divisors (2996364012).

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

1613405460 is a wasteful number, since it uses less digits than its factorization.

1613405460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1613405460 is about 40167.2187237304. The cubic root of 1613405460 is about 1172.8644984325.

The spelling of 1613405460 in words is "one billion, six hundred thirteen million, four hundred five thousand, four hundred sixty".