1001948461 has 8 divisors (see below), whose sum is σ = 1026212000. Its totient is φ = 977728752.

The previous prime is 1001948417. The next prime is 1001948503. The reversal of 1001948461 is 1648491001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001948461 - 2²¹ = 999851309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001988461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37915 + ... + 58663.

It is an arithmetic number, because the mean of its divisors is an integer number (128276500).

Almost surely, 2^1001948461 is an apocalyptic number.

It is an amenable number.

1001948461 is a deficient number, since it is larger than the sum of its proper divisors (24263539).

1001948461 is a wasteful number, since it uses less digits than its factorization.

1001948461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21915.

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1001948461 is about 31653.5694827613. The cubic root of 1001948461 is about 1000.6490656227.

The spelling of 1001948461 in words is "one billion, one million, nine hundred forty-eight thousand, four hundred sixty-one".