464022000 has 320 divisors, whose sum is σ = 1792801920. Its totient is φ = 114048000.

The previous prime is 464021983. The next prime is 464022007. The reversal of 464022000 is 220464.

464022000 is a `hidden beast` number, since 4 + 640 + 2 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464022007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701670 + ... + 702330.

It is an arithmetic number, because the mean of its divisors is an integer number (5602506).

Almost surely, 2^464022000 is an apocalyptic number.

464022000 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 464022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896400960).

464022000 is an abundant number, since it is smaller than the sum of its proper divisors (1328779920).

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

464022000 is a wasteful number, since it uses less digits than its factorization.

464022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 464022000 is about 21541.1698846650. The cubic root of 464022000 is about 774.1875634618.

Adding to 464022000 its reverse (220464), we get a palindrome (464242464).

The spelling of 464022000 in words is "four hundred sixty-four million, twenty-two thousand".