464920128 has 112 divisors (see below), whose sum is σ = 1398788160. Its totient is φ = 151345152.

The previous prime is 464920123. The next prime is 464920129. The reversal of 464920128 is 821029464.

464920128 is a `hidden beast` number, since 4 + 649 + 2 + 0 + 1 + 2 + 8 = 666.

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 = 464920092 and 464920101.

It is not an unprimeable number, because it can be changed into a prime (464920121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71176 + ... + 77432.

It is an arithmetic number, because the mean of its divisors is an integer number (12489180).

Almost surely, 2^464920128 is an apocalyptic number.

464920128 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 464920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699394080).

464920128 is an abundant number, since it is smaller than the sum of its proper divisors (933868032).

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

464920128 is a wasteful number, since it uses less digits than its factorization.

464920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6305 counting only the distinct ones).

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

The square root of 464920128 is about 21562.0065856590. The cubic root of 464920128 is about 774.6867290230.

The spelling of 464920128 in words is "four hundred sixty-four million, nine hundred twenty thousand, one hundred twenty-eight".