466623360 has 384 divisors, whose sum is σ = 1878888960. Its totient is φ = 104509440.

The previous prime is 466623331. The next prime is 466623481. The reversal of 466623360 is 63326664.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2862639 + ... + 2862801.

It is an arithmetic number, because the mean of its divisors is an integer number (4892940).

Almost surely, 2^466623360 is an apocalyptic number.

466623360 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 466623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939444480).

466623360 is an abundant number, since it is smaller than the sum of its proper divisors (1412265600).

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

466623360 is a wasteful number, since it uses less digits than its factorization.

466623360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 466623360 is about 21601.4666168758. The cubic root of 466623360 is about 775.6315961283.

The spelling of 466623360 in words is "four hundred sixty-six million, six hundred twenty-three thousand, three hundred sixty".