4461993900 has 648 divisors, whose sum is σ = 18027273264. Its totient is φ = 914457600.

The previous prime is 4461993883. The next prime is 4461993917. The reversal of 4461993900 is 93991644.

It is an interprime number because it is at equal distance from previous prime (4461993883) and next prime (4461993917).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24651810 + ... + 24651990.

Almost surely, 2^4461993900 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 4461993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9013636632).

4461993900 is an abundant number, since it is smaller than the sum of its proper divisors (13565279364).

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

4461993900 is a wasteful number, since it uses less digits than its factorization.

4461993900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 4461993900 is about 66798.1579087328. The cubic root of 4461993900 is about 1646.3025747570.

The spelling of 4461993900 in words is "four billion, four hundred sixty-one million, nine hundred ninety-three thousand, nine hundred".