1456261921 has 9 divisors (see below), whose sum is σ = 1505976849. Its totient is φ = 1408140900.

The previous prime is 1456261907. The next prime is 1456261931. The reversal of 1456261921 is 1291626541.

The square root of 1456261921 is 38161.

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

It is not a de Polignac number, because 1456261921 - 2²⁷ = 1322044193 is a prime.

It is a super-2 number, since 2×1456261921² = 4241397565109220482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1456261931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1182376 + ... + 1183606.

It is an arithmetic number, because the mean of its divisors is an integer number (167330761).

Almost surely, 2^1456261921 is an apocalyptic number.

1456261921 is the 38161-st square number.

1456261921 is the 19081-st centered octagonal number.

It is an amenable number.

1456261921 is a deficient number, since it is larger than the sum of its proper divisors (49714928).

1456261921 is an frugal number, since it uses more digits than its factorization.

1456261921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 1262 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The cubic root of 1456261921 is about 1133.4781809004.

The spelling of 1456261921 in words is "one billion, four hundred fifty-six million, two hundred sixty-one thousand, nine hundred twenty-one".