1461999924 has 108 divisors (see below), whose sum is σ = 4642517152. Its totient is φ = 379732320.

The previous prime is 1461999919. The next prime is 1461999937. The reversal of 1461999924 is 4299991641.

1461999924 is a `hidden beast` number, since 1 + 461 + 9 + 99 + 92 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6519 + ... + 54465.

Almost surely, 2^1461999924 is an apocalyptic number.

1461999924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461999924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321258576).

1461999924 is an abundant number, since it is smaller than the sum of its proper divisors (3180517228).

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

1461999924 is a wasteful number, since it uses less digits than its factorization.

1461999924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47986 (or 47970 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 1461999924 is about 38236.1075947853. The cubic root of 1461999924 is about 1134.9649504336.

The spelling of 1461999924 in words is "one billion, four hundred sixty-one million, nine hundred ninety-nine thousand, nine hundred twenty-four".