461240928 has 72 divisors (see below), whose sum is σ = 1313728416. Its totient is φ = 153504000.

The previous prime is 461240891. The next prime is 461240929. The reversal of 461240928 is 829042164.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461240892 and 461240901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461240929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353878 + ... + 355178.

It is an arithmetic number, because the mean of its divisors is an integer number (18246228).

Almost surely, 2^461240928 is an apocalyptic number.

461240928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461240928 is an abundant number, since it is smaller than the sum of its proper divisors (852487488).

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

461240928 is a wasteful number, since it uses less digits than its factorization.

461240928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461240928 is about 21476.5203885546. The cubic root of 461240928 is about 772.6377898554.

The spelling of 461240928 in words is "four hundred sixty-one million, two hundred forty thousand, nine hundred twenty-eight".