466620000 has 480 divisors, whose sum is σ = 1927183104. Its totient is φ = 96000000.

The previous prime is 466619983. The next prime is 466620017. The reversal of 466620000 is 26664.

It is an interprime number because it is at equal distance from previous prime (466619983) and next prime (466620017).

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 4619950 + ... + 4620050.

Almost surely, 2^466620000 is an apocalyptic number.

466620000 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 466620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963591552).

466620000 is an abundant number, since it is smaller than the sum of its proper divisors (1460563104).

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

466620000 is a wasteful number, since it uses less digits than its factorization.

466620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 466620000 is about 21601.3888442387. The cubic root of 466620000 is about 775.6297344353.

Adding to 466620000 its reverse (26664), we get a palindrome (466646664).

The spelling of 466620000 in words is "four hundred sixty-six million, six hundred twenty thousand".