461998673920 has 624 divisors, whose sum is σ = 1366148712960. Its totient is φ = 146852020224.

The previous prime is 461998673897. The next prime is 461998673921. The reversal of 461998673920 is 29376899164.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461998673921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4088483784 + ... + 4088483896.

Almost surely, 2^461998673920 is an apocalyptic number.

461998673920 is a gapful number since it is divisible by the number (40) 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 461998673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683074356480).

461998673920 is an abundant number, since it is smaller than the sum of its proper divisors (904150039040).

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

461998673920 is a wasteful number, since it uses less digits than its factorization.

461998673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 461998673920 in words is "four hundred sixty-one billion, nine hundred ninety-eight million, six hundred seventy-three thousand, nine hundred twenty".