464406000 has 320 divisors, whose sum is σ = 1650430080. Its totient is φ = 111820800.

The previous prime is 464405987. The next prime is 464406043. The reversal of 464406000 is 604464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2957922 + ... + 2958078.

It is an arithmetic number, because the mean of its divisors is an integer number (5157594).

Almost surely, 2^464406000 is an apocalyptic number.

464406000 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 464406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825215040).

464406000 is an abundant number, since it is smaller than the sum of its proper divisors (1186024080).

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

464406000 is a wasteful number, since it uses less digits than its factorization.

464406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 464406000 is about 21550.0812063435. The cubic root of 464406000 is about 774.4010634363.

The spelling of 464406000 in words is "four hundred sixty-four million, four hundred six thousand".