1461669924 has 192 divisors, whose sum is σ = 4262952960. Its totient is φ = 383201280.

The previous prime is 1461669901. The next prime is 1461669947. The reversal of 1461669924 is 4299661641.

It is an interprime number because it is at equal distance from previous prime (1461669901) and next prime (1461669947).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4140532 + ... + 4140884.

It is an arithmetic number, because the mean of its divisors is an integer number (22202880).

Almost surely, 2^1461669924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461669924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131476480).

1461669924 is an abundant number, since it is smaller than the sum of its proper divisors (2801283036).

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

1461669924 is a wasteful number, since it uses less digits than its factorization.

1461669924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 1461669924 is about 38231.7920584427. The cubic root of 1461669924 is about 1134.8795499237.

The spelling of 1461669924 in words is "one billion, four hundred sixty-one million, six hundred sixty-nine thousand, nine hundred twenty-four".