461933472 has 576 divisors, whose sum is σ = 1801820160. Its totient is φ = 100362240.

The previous prime is 461933471. The next prime is 461933501. The reversal of 461933472 is 274339164.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 461933472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461933471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20084053 + ... + 20084075.

It is an arithmetic number, because the mean of its divisors is an integer number (3128160).

Almost surely, 2^461933472 is an apocalyptic number.

461933472 is a gapful number since it is divisible by the number (42) 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 461933472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900910080).

461933472 is an abundant number, since it is smaller than the sum of its proper divisors (1339886688).

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

461933472 is a wasteful number, since it uses less digits than its factorization.

461933472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 461933472 is about 21492.6376231490. The cubic root of 461933472 is about 773.0242965229.

The spelling of 461933472 in words is "four hundred sixty-one million, nine hundred thirty-three thousand, four hundred seventy-two".