466700400 has 240 divisors, whose sum is σ = 1685209600. Its totient is φ = 122653440.

The previous prime is 466700389. The next prime is 466700411. The reversal of 466700400 is 4007664.

It is an interprime number because it is at equal distance from previous prime (466700389) and next prime (466700411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 852927 + ... + 853473.

Almost surely, 2^466700400 is an apocalyptic number.

466700400 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 466700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842604800).

466700400 is an abundant number, since it is smaller than the sum of its proper divisors (1218509200).

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

466700400 is a wasteful number, since it uses less digits than its factorization.

466700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 466700400 is about 21603.2497555345. The cubic root of 466700400 is about 775.6742796393.

The spelling of 466700400 in words is "four hundred sixty-six million, seven hundred thousand, four hundred".