467903952000 has 640 divisors, whose sum is σ = 1746679334400. Its totient is φ = 124138137600.

The previous prime is 467903951989. The next prime is 467903952013. The reversal of 467903952000 is 259309764.

It is a happy number.

467903952000 is a `hidden beast` number, since 4 + 6 + 7 + 90 + 39 + 520 + 0 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289007191 + ... + 289008809.

It is an arithmetic number, because the mean of its divisors is an integer number (2729186460).

Almost surely, 2^467903952000 is an apocalyptic number.

467903952000 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 467903952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873339667200).

467903952000 is an abundant number, since it is smaller than the sum of its proper divisors (1278775382400).

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

467903952000 is a wasteful number, since it uses less digits than its factorization.

467903952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 467903952000 in words is "four hundred sixty-seven billion, nine hundred three million, nine hundred fifty-two thousand".