1413158464 has 63 divisors (see below), whose sum is σ = 2904947073. Its totient is φ = 682069248.

The previous prime is 1413158443. The next prime is 1413158471. The reversal of 1413158464 is 4648513141.

The square root of 1413158464 is 37592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1264513600 + 148644864 = 35560^2 + 12192^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11127169 + ... + 11127295.

It is an arithmetic number, because the mean of its divisors is an integer number (46110271).

Almost surely, 2^1413158464 is an apocalyptic number.

1413158464 is the 37592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413158464

1413158464 is an abundant number, since it is smaller than the sum of its proper divisors (1491788609).

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

1413158464 is an frugal number, since it uses more digits than its factorization.

1413158464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 166 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The cubic root of 1413158464 is about 1122.1828348159.

The spelling of 1413158464 in words is "one billion, four hundred thirteen million, one hundred fifty-eight thousand, four hundred sixty-four".