466623040 has 112 divisors (see below), whose sum is σ = 1204374528. Its totient is φ = 171177984.

The previous prime is 466623037. The next prime is 466623061. The reversal of 466623040 is 40326664.

It is a super-2 number, since 2×466623040² = 435474122917683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466622993 and 466623011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927429 + ... + 927931.

It is an arithmetic number, because the mean of its divisors is an integer number (10753344).

Almost surely, 2^466623040 is an apocalyptic number.

466623040 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 466623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602187264).

466623040 is an abundant number, since it is smaller than the sum of its proper divisors (737751488).

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

466623040 is a wasteful number, since it uses less digits than its factorization.

466623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 466623040 is about 21601.4592099701. The cubic root of 466623040 is about 775.6314188246.

The spelling of 466623040 in words is "four hundred sixty-six million, six hundred twenty-three thousand, forty".