466747400 has 96 divisors (see below), whose sum is σ = 1257479040. Its totient is φ = 157800960.

The previous prime is 466747387. The next prime is 466747409. The reversal of 466747400 is 4747664.

It is not an unprimeable number, because it can be changed into a prime (466747409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99917 + ... + 104483.

It is an arithmetic number, because the mean of its divisors is an integer number (13098740).

Almost surely, 2^466747400 is an apocalyptic number.

466747400 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 466747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628739520).

466747400 is an abundant number, since it is smaller than the sum of its proper divisors (790731640).

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

466747400 is a wasteful number, since it uses less digits than its factorization.

466747400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 466747400 is about 21604.3375274504. The cubic root of 466747400 is about 775.7003173768.

The spelling of 466747400 in words is "four hundred sixty-six million, seven hundred forty-seven thousand, four hundred".