1408575961 has 9 divisors (see below), whose sum is σ = 1525791231. Its totient is φ = 1299773592.

The previous prime is 1408575943. The next prime is 1408575979. The reversal of 1408575961 is 1695758041.

The square root of 1408575961 is 37531.

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

It is an interprime number because it is at equal distance from previous prime (1408575943) and next prime (1408575979).

It can be written as a sum of positive squares in only one way, i.e., 208369225 + 1200206736 = 14435^2 + 34644^2 .

It is not a de Polignac number, because 1408575961 - 2⁹ = 1408575449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1408575991) 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, 486460 + ... + 489346.

It is an arithmetic number, because the mean of its divisors is an integer number (169532359).

Almost surely, 2^1408575961 is an apocalyptic number.

1408575961 is the 37531-st square number.

1408575961 is the 18766-th centered octagonal number.

It is an amenable number.

1408575961 is a deficient number, since it is larger than the sum of its proper divisors (117215270).

1408575961 is an frugal number, since it uses more digits than its factorization.

1408575961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The cubic root of 1408575961 is about 1120.9685395886.

The spelling of 1408575961 in words is "one billion, four hundred eight million, five hundred seventy-five thousand, nine hundred sixty-one".