466041120 has 192 divisors, whose sum is σ = 1560746880. Its totient is φ = 116563968.

The previous prime is 466041109. The next prime is 466041131. The reversal of 466041120 is 21140664.

It is an interprime number because it is at equal distance from previous prime (466041109) and next prime (466041131).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249254 + ... + 1249626.

It is an arithmetic number, because the mean of its divisors is an integer number (8128890).

Almost surely, 2^466041120 is an apocalyptic number.

466041120 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 466041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780373440).

466041120 is an abundant number, since it is smaller than the sum of its proper divisors (1094705760).

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

466041120 is a wasteful number, since it uses less digits than its factorization.

466041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 466041120 is about 21587.9855475216. The cubic root of 466041120 is about 775.3088578184.

Adding to 466041120 its reverse (21140664), we get a palindrome (487181784).

The spelling of 466041120 in words is "four hundred sixty-six million, forty-one thousand, one hundred twenty".