461420928 has 128 divisors (see below), whose sum is σ = 1433712000. Its totient is φ = 145691136.

The previous prime is 461420903. The next prime is 461420933. The reversal of 461420928 is 829024164.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 461420892 and 461420901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62151 + ... + 69177.

It is an arithmetic number, because the mean of its divisors is an integer number (11200875).

Almost surely, 2^461420928 is an apocalyptic number.

461420928 is a gapful number since it is divisible by the number (48) 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 461420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716856000).

461420928 is an abundant number, since it is smaller than the sum of its proper divisors (972291072).

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

461420928 is a wasteful number, since it uses less digits than its factorization.

461420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7051 counting only the distinct ones).

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

The square root of 461420928 is about 21480.7106027710. The cubic root of 461420928 is about 772.7382844894.

The spelling of 461420928 in words is "four hundred sixty-one million, four hundred twenty thousand, nine hundred twenty-eight".