466862400 has 336 divisors, whose sum is σ = 1734799680. Its totient is φ = 122112000.

The previous prime is 466862399. The next prime is 466862419. The reversal of 466862400 is 4268664.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363147 + ... + 4363253.

Almost surely, 2^466862400 is an apocalyptic number.

466862400 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 466862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867399840).

466862400 is an abundant number, since it is smaller than the sum of its proper divisors (1267937280).

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

466862400 is a wasteful number, since it uses less digits than its factorization.

466862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 466862400 is about 21606.9988661082. The cubic root of 466862400 is about 775.7640193643.

The spelling of 466862400 in words is "four hundred sixty-six million, eight hundred sixty-two thousand, four hundred".