464264000 has 112 divisors (see below), whose sum is σ = 1161141696. Its totient is φ = 183872000.

The previous prime is 464263957. The next prime is 464264071. The reversal of 464264000 is 462464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047779 + ... + 1048221.

Almost surely, 2^464264000 is an apocalyptic number.

464264000 is a gapful number since it is divisible by the number (40) 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 464264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580570848).

464264000 is an abundant number, since it is smaller than the sum of its proper divisors (696877696).

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

464264000 is a wasteful number, since it uses less digits than its factorization.

464264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 464264000 is about 21546.7863032982. The cubic root of 464264000 is about 774.3221266433.

The spelling of 464264000 in words is "four hundred sixty-four million, two hundred sixty-four thousand".