464384928 has 192 divisors, whose sum is σ = 1507645440. Its totient is φ = 122176512.

The previous prime is 464384923. The next prime is 464384941. The reversal of 464384928 is 829483464.

It is a super-2 number, since 2×464384928² = 431306722707130368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (464384923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471925 + ... + 472907.

It is an arithmetic number, because the mean of its divisors is an integer number (7852320).

Almost surely, 2^464384928 is an apocalyptic number.

464384928 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 464384928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753822720).

464384928 is an abundant number, since it is smaller than the sum of its proper divisors (1043260512).

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

464384928 is a wasteful number, since it uses less digits than its factorization.

464384928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1051 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 464384928 is about 21549.5922931270. The cubic root of 464384928 is about 774.3893506777.

The spelling of 464384928 in words is "four hundred sixty-four million, three hundred eighty-four thousand, nine hundred twenty-eight".