1458934416 has 75 divisors (see below), whose sum is σ = 4226563033. Its totient is φ = 485853120.

The previous prime is 1458934403. The next prime is 1458934427. The reversal of 1458934416 is 6144398541.

The square root of 1458934416 is 38196.

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

1458934416 is a `hidden beast` number, since 14 + 589 + 3 + 44 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 960752016 + 498182400 = 30996^2 + 22320^2 .

It is a super-2 number, since 2×1458934416² = 4256979260378522112, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1374526 + ... + 1375586.

Almost surely, 2^1458934416 is an apocalyptic number.

1458934416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1458934416 is the 38196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1458934416

1458934416 is an abundant number, since it is smaller than the sum of its proper divisors (2767628617).

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

1458934416 is an frugal number, since it uses more digits than its factorization.

1458934416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 1066 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 1458934416 is about 1134.1711339945.

The spelling of 1458934416 in words is "one billion, four hundred fifty-eight million, nine hundred thirty-four thousand, four hundred sixteen".