466752000 has 640 divisors, whose sum is σ = 1930376448. Its totient is φ = 98304000.

The previous prime is 466751981. The next prime is 466752029. The reversal of 466752000 is 257664.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27455992 + ... + 27456008.

Almost surely, 2^466752000 is an apocalyptic number.

466752000 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 466752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965188224).

466752000 is an abundant number, since it is smaller than the sum of its proper divisors (1463624448).

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

466752000 is a wasteful number, since it uses less digits than its factorization.

466752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 466752000 is about 21604.4439872911. The cubic root of 466752000 is about 775.7028656571.

The spelling of 466752000 in words is "four hundred sixty-six million, seven hundred fifty-two thousand".